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Finding the Third Proportional to 539,852 and 806,806

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Solution

The third proportional to 539,852 and 806,806 is: 1,205,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,852 : 806,806 = 806,806 : x
  2. Step 2: Convert to fraction form
    539,852/806,806 = 806,806/x
  3. Step 3: Cross multiply
    539,852x = 806,806 × 806,806
  4. Step 4: Simplify right side
    539,852x = 650,935,921,636
  5. Step 5: Solve for x
    x = 650,935,921,636/539,852
  6. Step 6: Final answer
    x = 1,205,767.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.