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Finding the Third Proportional to 352,521 and 513,703

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Solution

The third proportional to 352,521 and 513,703 is: 748,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,521 : 513,703 = 513,703 : x
  2. Step 2: Convert to fraction form
    352,521/513,703 = 513,703/x
  3. Step 3: Cross multiply
    352,521x = 513,703 × 513,703
  4. Step 4: Simplify right side
    352,521x = 263,890,772,209
  5. Step 5: Solve for x
    x = 263,890,772,209/352,521
  6. Step 6: Final answer
    x = 748,581.71

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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.