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Finding the Third Proportional to 349,920 and 753,634.13

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Solution

The third proportional to 349,920 and 753,634.13 is: 1,623,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,920 : 753,634.13 = 753,634.13 : x
  2. Step 2: Convert to fraction form
    349,920/753,634.13 = 753,634.13/x
  3. Step 3: Cross multiply
    349,920x = 753,634.13 × 753,634.13
  4. Step 4: Simplify right side
    349,920x = 567,964,394,364.52
  5. Step 5: Solve for x
    x = 567,964,394,364.52/349,920
  6. Step 6: Final answer
    x = 1,623,126.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.