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Finding the Third Proportional to 420,528 and 566,604

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Solution

The third proportional to 420,528 and 566,604 is: 763,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,528 : 566,604 = 566,604 : x
  2. Step 2: Convert to fraction form
    420,528/566,604 = 566,604/x
  3. Step 3: Cross multiply
    420,528x = 566,604 × 566,604
  4. Step 4: Simplify right side
    420,528x = 321,040,092,816
  5. Step 5: Solve for x
    x = 321,040,092,816/420,528
  6. Step 6: Final answer
    x = 763,421.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.