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Finding the Third Proportional to 243,419.25 and 529,695.75

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Solution

The third proportional to 243,419.25 and 529,695.75 is: 1,152,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,419.25 : 529,695.75 = 529,695.75 : x
  2. Step 2: Convert to fraction form
    243,419.25/529,695.75 = 529,695.75/x
  3. Step 3: Cross multiply
    243,419.25x = 529,695.75 × 529,695.75
  4. Step 4: Simplify right side
    243,419.25x = 280,577,587,568.06
  5. Step 5: Solve for x
    x = 280,577,587,568.06/243,419.25
  6. Step 6: Final answer
    x = 1,152,651.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.