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Finding the Third Proportional to 412,472 and 904,624

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Solution

The third proportional to 412,472 and 904,624 is: 1,984,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,472 : 904,624 = 904,624 : x
  2. Step 2: Convert to fraction form
    412,472/904,624 = 904,624/x
  3. Step 3: Cross multiply
    412,472x = 904,624 × 904,624
  4. Step 4: Simplify right side
    412,472x = 818,344,581,376
  5. Step 5: Solve for x
    x = 818,344,581,376/412,472
  6. Step 6: Final answer
    x = 1,984,000.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.