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Finding the Third Proportional to 225,223.50 and 489,651

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Solution

The third proportional to 225,223.50 and 489,651 is: 1,064,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,223.50 : 489,651 = 489,651 : x
  2. Step 2: Convert to fraction form
    225,223.50/489,651 = 489,651/x
  3. Step 3: Cross multiply
    225,223.50x = 489,651 × 489,651
  4. Step 4: Simplify right side
    225,223.50x = 239,758,101,801
  5. Step 5: Solve for x
    x = 239,758,101,801/225,223.50
  6. Step 6: Final answer
    x = 1,064,534.13

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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.