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Finding the Third Proportional to 384,037 and 610,439

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Solution

The third proportional to 384,037 and 610,439 is: 970,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,037 : 610,439 = 610,439 : x
  2. Step 2: Convert to fraction form
    384,037/610,439 = 610,439/x
  3. Step 3: Cross multiply
    384,037x = 610,439 × 610,439
  4. Step 4: Simplify right side
    384,037x = 372,635,772,721
  5. Step 5: Solve for x
    x = 372,635,772,721/384,037
  6. Step 6: Final answer
    x = 970,312.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.