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Finding the Third Proportional to 345,963 and 752,478

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Solution

The third proportional to 345,963 and 752,478 is: 1,636,658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,963 : 752,478 = 752,478 : x
  2. Step 2: Convert to fraction form
    345,963/752,478 = 752,478/x
  3. Step 3: Cross multiply
    345,963x = 752,478 × 752,478
  4. Step 4: Simplify right side
    345,963x = 566,223,140,484
  5. Step 5: Solve for x
    x = 566,223,140,484/345,963
  6. Step 6: Final answer
    x = 1,636,658.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.