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Finding the Third Proportional to 225,226.50 and 489,657

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Solution

The third proportional to 225,226.50 and 489,657 is: 1,064,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,226.50 : 489,657 = 489,657 : x
  2. Step 2: Convert to fraction form
    225,226.50/489,657 = 489,657/x
  3. Step 3: Cross multiply
    225,226.50x = 489,657 × 489,657
  4. Step 4: Simplify right side
    225,226.50x = 239,763,977,649
  5. Step 5: Solve for x
    x = 239,763,977,649/225,226.50
  6. Step 6: Final answer
    x = 1,064,546.04

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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.