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Finding the Third Proportional to 245,806 and 539,116

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Solution

The third proportional to 245,806 and 539,116 is: 1,182,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,806 : 539,116 = 539,116 : x
  2. Step 2: Convert to fraction form
    245,806/539,116 = 539,116/x
  3. Step 3: Cross multiply
    245,806x = 539,116 × 539,116
  4. Step 4: Simplify right side
    245,806x = 290,646,061,456
  5. Step 5: Solve for x
    x = 290,646,061,456/245,806
  6. Step 6: Final answer
    x = 1,182,420.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.