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Finding the Third Proportional to 392,904 and 592,650

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Solution

The third proportional to 392,904 and 592,650 is: 893,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,904 : 592,650 = 592,650 : x
  2. Step 2: Convert to fraction form
    392,904/592,650 = 592,650/x
  3. Step 3: Cross multiply
    392,904x = 592,650 × 592,650
  4. Step 4: Simplify right side
    392,904x = 351,234,022,500
  5. Step 5: Solve for x
    x = 351,234,022,500/392,904
  6. Step 6: Final answer
    x = 893,943.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.