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Finding the Third Proportional to 392,584 and 847,376

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Solution

The third proportional to 392,584 and 847,376 is: 1,829,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,584 : 847,376 = 847,376 : x
  2. Step 2: Convert to fraction form
    392,584/847,376 = 847,376/x
  3. Step 3: Cross multiply
    392,584x = 847,376 × 847,376
  4. Step 4: Simplify right side
    392,584x = 718,046,085,376
  5. Step 5: Solve for x
    x = 718,046,085,376/392,584
  6. Step 6: Final answer
    x = 1,829,025.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.