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Finding the Third Proportional to 588,724 and 886,535

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Solution

The third proportional to 588,724 and 886,535 is: 1,334,996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,724 : 886,535 = 886,535 : x
  2. Step 2: Convert to fraction form
    588,724/886,535 = 886,535/x
  3. Step 3: Cross multiply
    588,724x = 886,535 × 886,535
  4. Step 4: Simplify right side
    588,724x = 785,944,306,225
  5. Step 5: Solve for x
    x = 785,944,306,225/588,724
  6. Step 6: Final answer
    x = 1,334,996.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.