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Finding the Third Proportional to 224,847.75 and 478,826.25

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Solution

The third proportional to 224,847.75 and 478,826.25 is: 1,019,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,847.75 : 478,826.25 = 478,826.25 : x
  2. Step 2: Convert to fraction form
    224,847.75/478,826.25 = 478,826.25/x
  3. Step 3: Cross multiply
    224,847.75x = 478,826.25 × 478,826.25
  4. Step 4: Simplify right side
    224,847.75x = 229,274,577,689.06
  5. Step 5: Solve for x
    x = 229,274,577,689.06/224,847.75
  6. Step 6: Final answer
    x = 1,019,688.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.