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Finding the Third Proportional to 349,421 and 748,674

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Solution

The third proportional to 349,421 and 748,674 is: 1,604,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,421 : 748,674 = 748,674 : x
  2. Step 2: Convert to fraction form
    349,421/748,674 = 748,674/x
  3. Step 3: Cross multiply
    349,421x = 748,674 × 748,674
  4. Step 4: Simplify right side
    349,421x = 560,512,758,276
  5. Step 5: Solve for x
    x = 560,512,758,276/349,421
  6. Step 6: Final answer
    x = 1,604,118.69

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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.