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Finding the Third Proportional to 245,473 and 539,186

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Solution

The third proportional to 245,473 and 539,186 is: 1,184,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,473 : 539,186 = 539,186 : x
  2. Step 2: Convert to fraction form
    245,473/539,186 = 539,186/x
  3. Step 3: Cross multiply
    245,473x = 539,186 × 539,186
  4. Step 4: Simplify right side
    245,473x = 290,721,542,596
  5. Step 5: Solve for x
    x = 290,721,542,596/245,473
  6. Step 6: Final answer
    x = 1,184,332.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.