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Finding the Third Proportional to 224,854.50 and 478,840.50

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Solution

The third proportional to 224,854.50 and 478,840.50 is: 1,019,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,854.50 : 478,840.50 = 478,840.50 : x
  2. Step 2: Convert to fraction form
    224,854.50/478,840.50 = 478,840.50/x
  3. Step 3: Cross multiply
    224,854.50x = 478,840.50 × 478,840.50
  4. Step 4: Simplify right side
    224,854.50x = 229,288,224,440.25
  5. Step 5: Solve for x
    x = 229,288,224,440.25/224,854.50
  6. Step 6: Final answer
    x = 1,019,718.19

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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.