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Finding the Third Proportional to 241,614.75 and 514,332.75

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Solution

The third proportional to 241,614.75 and 514,332.75 is: 1,094,875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,614.75 : 514,332.75 = 514,332.75 : x
  2. Step 2: Convert to fraction form
    241,614.75/514,332.75 = 514,332.75/x
  3. Step 3: Cross multiply
    241,614.75x = 514,332.75 × 514,332.75
  4. Step 4: Simplify right side
    241,614.75x = 264,538,177,722.56
  5. Step 5: Solve for x
    x = 264,538,177,722.56/241,614.75
  6. Step 6: Final answer
    x = 1,094,875.94

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.