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Finding the Third Proportional to 349,714.13 and 464,194.13

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Solution

The third proportional to 349,714.13 and 464,194.13 is: 616,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,714.13 : 464,194.13 = 464,194.13 : x
  2. Step 2: Convert to fraction form
    349,714.13/464,194.13 = 464,194.13/x
  3. Step 3: Cross multiply
    349,714.13x = 464,194.13 × 464,194.13
  4. Step 4: Simplify right side
    349,714.13x = 215,476,185,684.52
  5. Step 5: Solve for x
    x = 215,476,185,684.52/349,714.13
  6. Step 6: Final answer
    x = 616,149.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.