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Finding the Third Proportional to 545,761.13 and 781,504.88

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Solution

The third proportional to 545,761.13 and 781,504.88 is: 1,119,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,761.13 : 781,504.88 = 781,504.88 : x
  2. Step 2: Convert to fraction form
    545,761.13/781,504.88 = 781,504.88/x
  3. Step 3: Cross multiply
    545,761.13x = 781,504.88 × 781,504.88
  4. Step 4: Simplify right side
    545,761.13x = 610,749,869,648.77
  5. Step 5: Solve for x
    x = 610,749,869,648.77/545,761.13
  6. Step 6: Final answer
    x = 1,119,079.10

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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.