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Finding the Third Proportional to 349,170.75 and 557,884.50

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Solution

The third proportional to 349,170.75 and 557,884.50 is: 891,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,170.75 : 557,884.50 = 557,884.50 : x
  2. Step 2: Convert to fraction form
    349,170.75/557,884.50 = 557,884.50/x
  3. Step 3: Cross multiply
    349,170.75x = 557,884.50 × 557,884.50
  4. Step 4: Simplify right side
    349,170.75x = 311,235,115,340.25
  5. Step 5: Solve for x
    x = 311,235,115,340.25/349,170.75
  6. Step 6: Final answer
    x = 891,355.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.