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Finding the Third Proportional to 252,220 and 527,806

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Solution

The third proportional to 252,220 and 527,806 is: 1,104,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,220 : 527,806 = 527,806 : x
  2. Step 2: Convert to fraction form
    252,220/527,806 = 527,806/x
  3. Step 3: Cross multiply
    252,220x = 527,806 × 527,806
  4. Step 4: Simplify right side
    252,220x = 278,579,173,636
  5. Step 5: Solve for x
    x = 278,579,173,636/252,220
  6. Step 6: Final answer
    x = 1,104,508.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.