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Finding the Third Proportional to 227,822.63 and 527,426.44

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Solution

The third proportional to 227,822.63 and 527,426.44 is: 1,221,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,822.63 : 527,426.44 = 527,426.44 : x
  2. Step 2: Convert to fraction form
    227,822.63/527,426.44 = 527,426.44/x
  3. Step 3: Cross multiply
    227,822.63x = 527,426.44 × 527,426.44
  4. Step 4: Simplify right side
    227,822.63x = 278,178,646,973.94
  5. Step 5: Solve for x
    x = 278,178,646,973.94/227,822.63
  6. Step 6: Final answer
    x = 1,221,031.70

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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.