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Finding the Third Proportional to 591,097.50 and 865,687.50

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Solution

The third proportional to 591,097.50 and 865,687.50 is: 1,267,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,097.50 : 865,687.50 = 865,687.50 : x
  2. Step 2: Convert to fraction form
    591,097.50/865,687.50 = 865,687.50/x
  3. Step 3: Cross multiply
    591,097.50x = 865,687.50 × 865,687.50
  4. Step 4: Simplify right side
    591,097.50x = 749,414,847,656.25
  5. Step 5: Solve for x
    x = 749,414,847,656.25/591,097.50
  6. Step 6: Final answer
    x = 1,267,836.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.