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Finding the Third Proportional to 224,974.50 and 489,315

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Solution

The third proportional to 224,974.50 and 489,315 is: 1,064,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,974.50 : 489,315 = 489,315 : x
  2. Step 2: Convert to fraction form
    224,974.50/489,315 = 489,315/x
  3. Step 3: Cross multiply
    224,974.50x = 489,315 × 489,315
  4. Step 4: Simplify right side
    224,974.50x = 239,429,169,225
  5. Step 5: Solve for x
    x = 239,429,169,225/224,974.50
  6. Step 6: Final answer
    x = 1,064,250.26

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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.