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Finding the Third Proportional to 227,739 and 487,013

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Solution

The third proportional to 227,739 and 487,013 is: 1,041,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,739 : 487,013 = 487,013 : x
  2. Step 2: Convert to fraction form
    227,739/487,013 = 487,013/x
  3. Step 3: Cross multiply
    227,739x = 487,013 × 487,013
  4. Step 4: Simplify right side
    227,739x = 237,181,662,169
  5. Step 5: Solve for x
    x = 237,181,662,169/227,739
  6. Step 6: Final answer
    x = 1,041,462.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.