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Finding the Third Proportional to 392,900 and 592,644

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Solution

The third proportional to 392,900 and 592,644 is: 893,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,900 : 592,644 = 592,644 : x
  2. Step 2: Convert to fraction form
    392,900/592,644 = 592,644/x
  3. Step 3: Cross multiply
    392,900x = 592,644 × 592,644
  4. Step 4: Simplify right side
    392,900x = 351,226,910,736
  5. Step 5: Solve for x
    x = 351,226,910,736/392,900
  6. Step 6: Final answer
    x = 893,934.62

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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.