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Finding the Third Proportional to 227,749.85 and 527,252.10

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Solution

The third proportional to 227,749.85 and 527,252.10 is: 1,220,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,749.85 : 527,252.10 = 527,252.10 : x
  2. Step 2: Convert to fraction form
    227,749.85/527,252.10 = 527,252.10/x
  3. Step 3: Cross multiply
    227,749.85x = 527,252.10 × 527,252.10
  4. Step 4: Simplify right side
    227,749.85x = 277,994,774,482.92
  5. Step 5: Solve for x
    x = 277,994,774,482.92/227,749.85
  6. Step 6: Final answer
    x = 1,220,614.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.