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Finding the Third Proportional to 215,142.75 and 472,756.50

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Solution

The third proportional to 215,142.75 and 472,756.50 is: 1,038,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,142.75 : 472,756.50 = 472,756.50 : x
  2. Step 2: Convert to fraction form
    215,142.75/472,756.50 = 472,756.50/x
  3. Step 3: Cross multiply
    215,142.75x = 472,756.50 × 472,756.50
  4. Step 4: Simplify right side
    215,142.75x = 223,498,708,292.25
  5. Step 5: Solve for x
    x = 223,498,708,292.25/215,142.75
  6. Step 6: Final answer
    x = 1,038,839.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.