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Finding the Third Proportional to 539,010 and 808,446

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Solution

The third proportional to 539,010 and 808,446 is: 1,212,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,010 : 808,446 = 808,446 : x
  2. Step 2: Convert to fraction form
    539,010/808,446 = 808,446/x
  3. Step 3: Cross multiply
    539,010x = 808,446 × 808,446
  4. Step 4: Simplify right side
    539,010x = 653,584,934,916
  5. Step 5: Solve for x
    x = 653,584,934,916/539,010
  6. Step 6: Final answer
    x = 1,212,565.51

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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.