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Finding the Third Proportional to 349,328.53 and 748,456.88

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Solution

The third proportional to 349,328.53 and 748,456.88 is: 1,603,612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,328.53 : 748,456.88 = 748,456.88 : x
  2. Step 2: Convert to fraction form
    349,328.53/748,456.88 = 748,456.88/x
  3. Step 3: Cross multiply
    349,328.53x = 748,456.88 × 748,456.88
  4. Step 4: Simplify right side
    349,328.53x = 560,187,693,734.77
  5. Step 5: Solve for x
    x = 560,187,693,734.77/349,328.53
  6. Step 6: Final answer
    x = 1,603,612.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.