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Finding the Third Proportional to 541,464.75 and 858,124.13

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Solution

The third proportional to 541,464.75 and 858,124.13 is: 1,359,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,464.75 : 858,124.13 = 858,124.13 : x
  2. Step 2: Convert to fraction form
    541,464.75/858,124.13 = 858,124.13/x
  3. Step 3: Cross multiply
    541,464.75x = 858,124.13 × 858,124.13
  4. Step 4: Simplify right side
    541,464.75x = 736,377,013,907.02
  5. Step 5: Solve for x
    x = 736,377,013,907.02/541,464.75
  6. Step 6: Final answer
    x = 1,359,972.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.