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Finding the Third Proportional to 349,341 and 748,530

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Solution

The third proportional to 349,341 and 748,530 is: 1,603,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,341 : 748,530 = 748,530 : x
  2. Step 2: Convert to fraction form
    349,341/748,530 = 748,530/x
  3. Step 3: Cross multiply
    349,341x = 748,530 × 748,530
  4. Step 4: Simplify right side
    349,341x = 560,297,160,900
  5. Step 5: Solve for x
    x = 560,297,160,900/349,341
  6. Step 6: Final answer
    x = 1,603,868.89

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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.