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Finding the Third Proportional to 288,428 and 625,528

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Solution

The third proportional to 288,428 and 625,528 is: 1,356,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,428 : 625,528 = 625,528 : x
  2. Step 2: Convert to fraction form
    288,428/625,528 = 625,528/x
  3. Step 3: Cross multiply
    288,428x = 625,528 × 625,528
  4. Step 4: Simplify right side
    288,428x = 391,285,278,784
  5. Step 5: Solve for x
    x = 391,285,278,784/288,428
  6. Step 6: Final answer
    x = 1,356,613.36

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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.