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Finding the Third Proportional to 534,552 and 799,209

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Solution

The third proportional to 534,552 and 799,209 is: 1,194,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,552 : 799,209 = 799,209 : x
  2. Step 2: Convert to fraction form
    534,552/799,209 = 799,209/x
  3. Step 3: Cross multiply
    534,552x = 799,209 × 799,209
  4. Step 4: Simplify right side
    534,552x = 638,735,025,681
  5. Step 5: Solve for x
    x = 638,735,025,681/534,552
  6. Step 6: Final answer
    x = 1,194,897.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.