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Finding the Third Proportional to 490,242.38 and 735,115.50

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Solution

The third proportional to 490,242.38 and 735,115.50 is: 1,102,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,242.38 : 735,115.50 = 735,115.50 : x
  2. Step 2: Convert to fraction form
    490,242.38/735,115.50 = 735,115.50/x
  3. Step 3: Cross multiply
    490,242.38x = 735,115.50 × 735,115.50
  4. Step 4: Simplify right side
    490,242.38x = 540,394,798,340.25
  5. Step 5: Solve for x
    x = 540,394,798,340.25/490,242.38
  6. Step 6: Final answer
    x = 1,102,301.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.