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Finding the Third Proportional to 262,973.25 and 558,711

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Solution

The third proportional to 262,973.25 and 558,711 is: 1,187,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,973.25 : 558,711 = 558,711 : x
  2. Step 2: Convert to fraction form
    262,973.25/558,711 = 558,711/x
  3. Step 3: Cross multiply
    262,973.25x = 558,711 × 558,711
  4. Step 4: Simplify right side
    262,973.25x = 312,157,981,521
  5. Step 5: Solve for x
    x = 312,157,981,521/262,973.25
  6. Step 6: Final answer
    x = 1,187,033.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.