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Finding the Third Proportional to 337,706 and 513,521

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Solution

The third proportional to 337,706 and 513,521 is: 780,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,706 : 513,521 = 513,521 : x
  2. Step 2: Convert to fraction form
    337,706/513,521 = 513,521/x
  3. Step 3: Cross multiply
    337,706x = 513,521 × 513,521
  4. Step 4: Simplify right side
    337,706x = 263,703,817,441
  5. Step 5: Solve for x
    x = 263,703,817,441/337,706
  6. Step 6: Final answer
    x = 780,868.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.