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Finding the Third Proportional to 291,937.50 and 633,723.75

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Solution

The third proportional to 291,937.50 and 633,723.75 is: 1,375,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,937.50 : 633,723.75 = 633,723.75 : x
  2. Step 2: Convert to fraction form
    291,937.50/633,723.75 = 633,723.75/x
  3. Step 3: Cross multiply
    291,937.50x = 633,723.75 × 633,723.75
  4. Step 4: Simplify right side
    291,937.50x = 401,605,791,314.06
  5. Step 5: Solve for x
    x = 401,605,791,314.06/291,937.50
  6. Step 6: Final answer
    x = 1,375,656.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.