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Finding the Third Proportional to 229,859 and 487,361

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Solution

The third proportional to 229,859 and 487,361 is: 1,033,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,859 : 487,361 = 487,361 : x
  2. Step 2: Convert to fraction form
    229,859/487,361 = 487,361/x
  3. Step 3: Cross multiply
    229,859x = 487,361 × 487,361
  4. Step 4: Simplify right side
    229,859x = 237,520,744,321
  5. Step 5: Solve for x
    x = 237,520,744,321/229,859
  6. Step 6: Final answer
    x = 1,033,332.37

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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.