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Finding the Third Proportional to 224,972.50 and 489,311

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Solution

The third proportional to 224,972.50 and 489,311 is: 1,064,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,972.50 : 489,311 = 489,311 : x
  2. Step 2: Convert to fraction form
    224,972.50/489,311 = 489,311/x
  3. Step 3: Cross multiply
    224,972.50x = 489,311 × 489,311
  4. Step 4: Simplify right side
    224,972.50x = 239,425,254,721
  5. Step 5: Solve for x
    x = 239,425,254,721/224,972.50
  6. Step 6: Final answer
    x = 1,064,242.32

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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.