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Finding the Third Proportional to 229,689 and 487,179

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Solution

The third proportional to 229,689 and 487,179 is: 1,033,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,689 : 487,179 = 487,179 : x
  2. Step 2: Convert to fraction form
    229,689/487,179 = 487,179/x
  3. Step 3: Cross multiply
    229,689x = 487,179 × 487,179
  4. Step 4: Simplify right side
    229,689x = 237,343,378,041
  5. Step 5: Solve for x
    x = 237,343,378,041/229,689
  6. Step 6: Final answer
    x = 1,033,324.97

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Why These Related Problems?

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