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Finding the Third Proportional to 232,405 and 492,711

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Solution

The third proportional to 232,405 and 492,711 is: 1,044,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,405 : 492,711 = 492,711 : x
  2. Step 2: Convert to fraction form
    232,405/492,711 = 492,711/x
  3. Step 3: Cross multiply
    232,405x = 492,711 × 492,711
  4. Step 4: Simplify right side
    232,405x = 242,764,129,521
  5. Step 5: Solve for x
    x = 242,764,129,521/232,405
  6. Step 6: Final answer
    x = 1,044,573.61

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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.