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Finding the Third Proportional to 224,687 and 489,050

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Solution

The third proportional to 224,687 and 489,050 is: 1,064,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,687 : 489,050 = 489,050 : x
  2. Step 2: Convert to fraction form
    224,687/489,050 = 489,050/x
  3. Step 3: Cross multiply
    224,687x = 489,050 × 489,050
  4. Step 4: Simplify right side
    224,687x = 239,169,902,500
  5. Step 5: Solve for x
    x = 239,169,902,500/224,687
  6. Step 6: Final answer
    x = 1,064,458.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.