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Finding the Third Proportional to 349,714.13 and 541,640.25

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Solution

The third proportional to 349,714.13 and 541,640.25 is: 838,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,714.13 : 541,640.25 = 541,640.25 : x
  2. Step 2: Convert to fraction form
    349,714.13/541,640.25 = 541,640.25/x
  3. Step 3: Cross multiply
    349,714.13x = 541,640.25 × 541,640.25
  4. Step 4: Simplify right side
    349,714.13x = 293,374,160,420.06
  5. Step 5: Solve for x
    x = 293,374,160,420.06/349,714.13
  6. Step 6: Final answer
    x = 838,897.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.