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Finding the Third Proportional to 545,821.88 and 781,572.38

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Solution

The third proportional to 545,821.88 and 781,572.38 is: 1,119,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,821.88 : 781,572.38 = 781,572.38 : x
  2. Step 2: Convert to fraction form
    545,821.88/781,572.38 = 781,572.38/x
  3. Step 3: Cross multiply
    545,821.88x = 781,572.38 × 781,572.38
  4. Step 4: Simplify right side
    545,821.88x = 610,855,377,363.14
  5. Step 5: Solve for x
    x = 610,855,377,363.14/545,821.88
  6. Step 6: Final answer
    x = 1,119,147.85

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.