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Finding the Third Proportional to 349,418 and 748,696

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Solution

The third proportional to 349,418 and 748,696 is: 1,604,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,418 : 748,696 = 748,696 : x
  2. Step 2: Convert to fraction form
    349,418/748,696 = 748,696/x
  3. Step 3: Cross multiply
    349,418x = 748,696 × 748,696
  4. Step 4: Simplify right side
    349,418x = 560,545,700,416
  5. Step 5: Solve for x
    x = 560,545,700,416/349,418
  6. Step 6: Final answer
    x = 1,604,226.74

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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.