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Finding the Third Proportional to 413,167.50 and 875,937.38

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Solution

The third proportional to 413,167.50 and 875,937.38 is: 1,857,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,167.50 : 875,937.38 = 875,937.38 : x
  2. Step 2: Convert to fraction form
    413,167.50/875,937.38 = 875,937.38/x
  3. Step 3: Cross multiply
    413,167.50x = 875,937.38 × 875,937.38
  4. Step 4: Simplify right side
    413,167.50x = 767,266,284,921.89
  5. Step 5: Solve for x
    x = 767,266,284,921.89/413,167.50
  6. Step 6: Final answer
    x = 1,857,034.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.