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Finding the Third Proportional to 591,358 and 926,599

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Solution

The third proportional to 591,358 and 926,599 is: 1,451,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,358 : 926,599 = 926,599 : x
  2. Step 2: Convert to fraction form
    591,358/926,599 = 926,599/x
  3. Step 3: Cross multiply
    591,358x = 926,599 × 926,599
  4. Step 4: Simplify right side
    591,358x = 858,585,706,801
  5. Step 5: Solve for x
    x = 858,585,706,801/591,358
  6. Step 6: Final answer
    x = 1,451,888.21

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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.