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Finding the Third Proportional to 232,267 and 508,820

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Solution

The third proportional to 232,267 and 508,820 is: 1,114,655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,267 : 508,820 = 508,820 : x
  2. Step 2: Convert to fraction form
    232,267/508,820 = 508,820/x
  3. Step 3: Cross multiply
    232,267x = 508,820 × 508,820
  4. Step 4: Simplify right side
    232,267x = 258,897,792,400
  5. Step 5: Solve for x
    x = 258,897,792,400/232,267
  6. Step 6: Final answer
    x = 1,114,655.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.