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Finding the Third Proportional to 455,473.13 and 648,830.25

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Solution

The third proportional to 455,473.13 and 648,830.25 is: 924,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,473.13 : 648,830.25 = 648,830.25 : x
  2. Step 2: Convert to fraction form
    455,473.13/648,830.25 = 648,830.25/x
  3. Step 3: Cross multiply
    455,473.13x = 648,830.25 × 648,830.25
  4. Step 4: Simplify right side
    455,473.13x = 420,980,693,315.06
  5. Step 5: Solve for x
    x = 420,980,693,315.06/455,473.13
  6. Step 6: Final answer
    x = 924,271.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.