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Finding the Third Proportional to 392,578 and 847,364

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Solution

The third proportional to 392,578 and 847,364 is: 1,829,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,578 : 847,364 = 847,364 : x
  2. Step 2: Convert to fraction form
    392,578/847,364 = 847,364/x
  3. Step 3: Cross multiply
    392,578x = 847,364 × 847,364
  4. Step 4: Simplify right side
    392,578x = 718,025,748,496
  5. Step 5: Solve for x
    x = 718,025,748,496/392,578
  6. Step 6: Final answer
    x = 1,829,001.49

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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.