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Finding the Third Proportional to 223,458 and 527,031

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Solution

The third proportional to 223,458 and 527,031 is: 1,243,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,458 : 527,031 = 527,031 : x
  2. Step 2: Convert to fraction form
    223,458/527,031 = 527,031/x
  3. Step 3: Cross multiply
    223,458x = 527,031 × 527,031
  4. Step 4: Simplify right side
    223,458x = 277,761,674,961
  5. Step 5: Solve for x
    x = 277,761,674,961/223,458
  6. Step 6: Final answer
    x = 1,243,015.13

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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.