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Finding the Third Proportional to 224,572.50 and 490,788

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Solution

The third proportional to 224,572.50 and 490,788 is: 1,072,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,572.50 : 490,788 = 490,788 : x
  2. Step 2: Convert to fraction form
    224,572.50/490,788 = 490,788/x
  3. Step 3: Cross multiply
    224,572.50x = 490,788 × 490,788
  4. Step 4: Simplify right side
    224,572.50x = 240,872,860,944
  5. Step 5: Solve for x
    x = 240,872,860,944/224,572.50
  6. Step 6: Final answer
    x = 1,072,583.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.