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Finding the Third Proportional to 349,920 and 517,498.88

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Solution

The third proportional to 349,920 and 517,498.88 is: 765,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,920 : 517,498.88 = 517,498.88 : x
  2. Step 2: Convert to fraction form
    349,920/517,498.88 = 517,498.88/x
  3. Step 3: Cross multiply
    349,920x = 517,498.88 × 517,498.88
  4. Step 4: Simplify right side
    349,920x = 267,805,085,626.27
  5. Step 5: Solve for x
    x = 267,805,085,626.27/349,920
  6. Step 6: Final answer
    x = 765,332.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.