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Finding the Third Proportional to 539,800 and 857,760

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Solution

The third proportional to 539,800 and 857,760 is: 1,363,008.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,800 : 857,760 = 857,760 : x
  2. Step 2: Convert to fraction form
    539,800/857,760 = 857,760/x
  3. Step 3: Cross multiply
    539,800x = 857,760 × 857,760
  4. Step 4: Simplify right side
    539,800x = 735,752,217,600
  5. Step 5: Solve for x
    x = 735,752,217,600/539,800
  6. Step 6: Final answer
    x = 1,363,008.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.