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Finding the Third Proportional to 232,740 and 502,624

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Solution

The third proportional to 232,740 and 502,624 is: 1,085,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,740 : 502,624 = 502,624 : x
  2. Step 2: Convert to fraction form
    232,740/502,624 = 502,624/x
  3. Step 3: Cross multiply
    232,740x = 502,624 × 502,624
  4. Step 4: Simplify right side
    232,740x = 252,630,885,376
  5. Step 5: Solve for x
    x = 252,630,885,376/232,740
  6. Step 6: Final answer
    x = 1,085,463.97

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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.