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Finding the Third Proportional to 227,804.25 and 527,370

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Solution

The third proportional to 227,804.25 and 527,370 is: 1,220,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,804.25 : 527,370 = 527,370 : x
  2. Step 2: Convert to fraction form
    227,804.25/527,370 = 527,370/x
  3. Step 3: Cross multiply
    227,804.25x = 527,370 × 527,370
  4. Step 4: Simplify right side
    227,804.25x = 278,119,116,900
  5. Step 5: Solve for x
    x = 278,119,116,900/227,804.25
  6. Step 6: Final answer
    x = 1,220,868.87

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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.