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Finding the Third Proportional to 495,698,259.25 and 741,582,037.25

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Solution

The third proportional to 495,698,259.25 and 741,582,037.25 is: 1,109,432,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,698,259.25 : 741,582,037.25 = 741,582,037.25 : x
  2. Step 2: Convert to fraction form
    495,698,259.25/741,582,037.25 = 741,582,037.25/x
  3. Step 3: Cross multiply
    495,698,259.25x = 741,582,037.25 × 741,582,037.25
  4. Step 4: Simplify right side
    495,698,259.25x = 549,943,917,971,860,416
  5. Step 5: Solve for x
    x = 549,943,917,971,860,416/495,698,259.25
  6. Step 6: Final answer
    x = 1,109,432,820.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.