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Finding the Third Proportional to 588,976 and 918,456

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Solution

The third proportional to 588,976 and 918,456 is: 1,432,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,976 : 918,456 = 918,456 : x
  2. Step 2: Convert to fraction form
    588,976/918,456 = 918,456/x
  3. Step 3: Cross multiply
    588,976x = 918,456 × 918,456
  4. Step 4: Simplify right side
    588,976x = 843,561,423,936
  5. Step 5: Solve for x
    x = 843,561,423,936/588,976
  6. Step 6: Final answer
    x = 1,432,250.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.