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Finding the Third Proportional to 323,521 and 702,932

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Solution

The third proportional to 323,521 and 702,932 is: 1,527,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,521 : 702,932 = 702,932 : x
  2. Step 2: Convert to fraction form
    323,521/702,932 = 702,932/x
  3. Step 3: Cross multiply
    323,521x = 702,932 × 702,932
  4. Step 4: Simplify right side
    323,521x = 494,113,396,624
  5. Step 5: Solve for x
    x = 494,113,396,624/323,521
  6. Step 6: Final answer
    x = 1,527,299.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.