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Finding the Third Proportional to 349,714.97 and 540,025.73

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Solution

The third proportional to 349,714.97 and 540,025.73 is: 833,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,714.97 : 540,025.73 = 540,025.73 : x
  2. Step 2: Convert to fraction form
    349,714.97/540,025.73 = 540,025.73/x
  3. Step 3: Cross multiply
    349,714.97x = 540,025.73 × 540,025.73
  4. Step 4: Simplify right side
    349,714.97x = 291,627,793,787.26
  5. Step 5: Solve for x
    x = 291,627,793,787.26/349,714.97
  6. Step 6: Final answer
    x = 833,901.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.