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Finding the Third Proportional to 412,350 and 638,478

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Solution

The third proportional to 412,350 and 638,478 is: 988,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,350 : 638,478 = 638,478 : x
  2. Step 2: Convert to fraction form
    412,350/638,478 = 638,478/x
  3. Step 3: Cross multiply
    412,350x = 638,478 × 638,478
  4. Step 4: Simplify right side
    412,350x = 407,654,156,484
  5. Step 5: Solve for x
    x = 407,654,156,484/412,350
  6. Step 6: Final answer
    x = 988,612.00

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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.