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Finding the Third Proportional to 502,235.44 and 757,881.56

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Solution

The third proportional to 502,235.44 and 757,881.56 is: 1,143,655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,235.44 : 757,881.56 = 757,881.56 : x
  2. Step 2: Convert to fraction form
    502,235.44/757,881.56 = 757,881.56/x
  3. Step 3: Cross multiply
    502,235.44x = 757,881.56 × 757,881.56
  4. Step 4: Simplify right side
    502,235.44x = 574,384,462,777.44
  5. Step 5: Solve for x
    x = 574,384,462,777.44/502,235.44
  6. Step 6: Final answer
    x = 1,143,655.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.