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Finding the Third Proportional to 272,765.25 and 592,744.31

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Solution

The third proportional to 272,765.25 and 592,744.31 is: 1,288,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,765.25 : 592,744.31 = 592,744.31 : x
  2. Step 2: Convert to fraction form
    272,765.25/592,744.31 = 592,744.31/x
  3. Step 3: Cross multiply
    272,765.25x = 592,744.31 × 592,744.31
  4. Step 4: Simplify right side
    272,765.25x = 351,345,820,001.10
  5. Step 5: Solve for x
    x = 351,345,820,001.10/272,765.25
  6. Step 6: Final answer
    x = 1,288,088.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.