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Finding the Third Proportional to 591,789 and 865,534.50

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Solution

The third proportional to 591,789 and 865,534.50 is: 1,265,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,789 : 865,534.50 = 865,534.50 : x
  2. Step 2: Convert to fraction form
    591,789/865,534.50 = 865,534.50/x
  3. Step 3: Cross multiply
    591,789x = 865,534.50 × 865,534.50
  4. Step 4: Simplify right side
    591,789x = 749,149,970,690.25
  5. Step 5: Solve for x
    x = 749,149,970,690.25/591,789
  6. Step 6: Final answer
    x = 1,265,907.22

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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.