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Finding the Third Proportional to 243,387.75 and 532,656.75

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Solution

The third proportional to 243,387.75 and 532,656.75 is: 1,165,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,387.75 : 532,656.75 = 532,656.75 : x
  2. Step 2: Convert to fraction form
    243,387.75/532,656.75 = 532,656.75/x
  3. Step 3: Cross multiply
    243,387.75x = 532,656.75 × 532,656.75
  4. Step 4: Simplify right side
    243,387.75x = 283,723,213,320.56
  5. Step 5: Solve for x
    x = 283,723,213,320.56/243,387.75
  6. Step 6: Final answer
    x = 1,165,725.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.