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Finding the Third Proportional to 232,810 and 508,267

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Solution

The third proportional to 232,810 and 508,267 is: 1,109,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,810 : 508,267 = 508,267 : x
  2. Step 2: Convert to fraction form
    232,810/508,267 = 508,267/x
  3. Step 3: Cross multiply
    232,810x = 508,267 × 508,267
  4. Step 4: Simplify right side
    232,810x = 258,335,343,289
  5. Step 5: Solve for x
    x = 258,335,343,289/232,810
  6. Step 6: Final answer
    x = 1,109,640.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.