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Finding the Third Proportional to 591,351 and 926,588

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Solution

The third proportional to 591,351 and 926,588 is: 1,451,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,351 : 926,588 = 926,588 : x
  2. Step 2: Convert to fraction form
    591,351/926,588 = 926,588/x
  3. Step 3: Cross multiply
    591,351x = 926,588 × 926,588
  4. Step 4: Simplify right side
    591,351x = 858,565,321,744
  5. Step 5: Solve for x
    x = 858,565,321,744/591,351
  6. Step 6: Final answer
    x = 1,451,870.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.