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Finding the Third Proportional to 431,950.13 and 942,510.75

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Solution

The third proportional to 431,950.13 and 942,510.75 is: 2,056,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,950.13 : 942,510.75 = 942,510.75 : x
  2. Step 2: Convert to fraction form
    431,950.13/942,510.75 = 942,510.75/x
  3. Step 3: Cross multiply
    431,950.13x = 942,510.75 × 942,510.75
  4. Step 4: Simplify right side
    431,950.13x = 888,326,513,865.56
  5. Step 5: Solve for x
    x = 888,326,513,865.56/431,950.13
  6. Step 6: Final answer
    x = 2,056,548.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.