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Finding the Third Proportional to 598,624 and 929,414

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Solution

The third proportional to 598,624 and 929,414 is: 1,442,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,624 : 929,414 = 929,414 : x
  2. Step 2: Convert to fraction form
    598,624/929,414 = 929,414/x
  3. Step 3: Cross multiply
    598,624x = 929,414 × 929,414
  4. Step 4: Simplify right side
    598,624x = 863,810,383,396
  5. Step 5: Solve for x
    x = 863,810,383,396/598,624
  6. Step 6: Final answer
    x = 1,442,993.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.