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Finding the Third Proportional to 223,437 and 527,004

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Solution

The third proportional to 223,437 and 527,004 is: 1,243,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,437 : 527,004 = 527,004 : x
  2. Step 2: Convert to fraction form
    223,437/527,004 = 527,004/x
  3. Step 3: Cross multiply
    223,437x = 527,004 × 527,004
  4. Step 4: Simplify right side
    223,437x = 277,733,216,016
  5. Step 5: Solve for x
    x = 277,733,216,016/223,437
  6. Step 6: Final answer
    x = 1,243,004.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.