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Finding the Third Proportional to 245,187 and 516,996

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Solution

The third proportional to 245,187 and 516,996 is: 1,090,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,187 : 516,996 = 516,996 : x
  2. Step 2: Convert to fraction form
    245,187/516,996 = 516,996/x
  3. Step 3: Cross multiply
    245,187x = 516,996 × 516,996
  4. Step 4: Simplify right side
    245,187x = 267,284,864,016
  5. Step 5: Solve for x
    x = 267,284,864,016/245,187
  6. Step 6: Final answer
    x = 1,090,126.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.