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Finding the Third Proportional to 541,087.50 and 841,103.25

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Solution

The third proportional to 541,087.50 and 841,103.25 is: 1,307,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,087.50 : 841,103.25 = 841,103.25 : x
  2. Step 2: Convert to fraction form
    541,087.50/841,103.25 = 841,103.25/x
  3. Step 3: Cross multiply
    541,087.50x = 841,103.25 × 841,103.25
  4. Step 4: Simplify right side
    541,087.50x = 707,454,677,160.56
  5. Step 5: Solve for x
    x = 707,454,677,160.56/541,087.50
  6. Step 6: Final answer
    x = 1,307,468.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.