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Finding the Third Proportional to 384,248 and 617,376

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Solution

The third proportional to 384,248 and 617,376 is: 991,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,248 : 617,376 = 617,376 : x
  2. Step 2: Convert to fraction form
    384,248/617,376 = 617,376/x
  3. Step 3: Cross multiply
    384,248x = 617,376 × 617,376
  4. Step 4: Simplify right side
    384,248x = 381,153,125,376
  5. Step 5: Solve for x
    x = 381,153,125,376/384,248
  6. Step 6: Final answer
    x = 991,945.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.