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Finding the Third Proportional to 225,532 and 489,940

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Solution

The third proportional to 225,532 and 489,940 is: 1,064,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,532 : 489,940 = 489,940 : x
  2. Step 2: Convert to fraction form
    225,532/489,940 = 489,940/x
  3. Step 3: Cross multiply
    225,532x = 489,940 × 489,940
  4. Step 4: Simplify right side
    225,532x = 240,041,203,600
  5. Step 5: Solve for x
    x = 240,041,203,600/225,532
  6. Step 6: Final answer
    x = 1,064,333.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.