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Finding the Third Proportional to 356,900 and 521,940

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Solution

The third proportional to 356,900 and 521,940 is: 763,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,900 : 521,940 = 521,940 : x
  2. Step 2: Convert to fraction form
    356,900/521,940 = 521,940/x
  3. Step 3: Cross multiply
    356,900x = 521,940 × 521,940
  4. Step 4: Simplify right side
    356,900x = 272,421,363,600
  5. Step 5: Solve for x
    x = 272,421,363,600/356,900
  6. Step 6: Final answer
    x = 763,298.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.