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Finding the Third Proportional to 462,611 and 725,864

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Solution

The third proportional to 462,611 and 725,864 is: 1,138,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,611 : 725,864 = 725,864 : x
  2. Step 2: Convert to fraction form
    462,611/725,864 = 725,864/x
  3. Step 3: Cross multiply
    462,611x = 725,864 × 725,864
  4. Step 4: Simplify right side
    462,611x = 526,878,546,496
  5. Step 5: Solve for x
    x = 526,878,546,496/462,611
  6. Step 6: Final answer
    x = 1,138,923.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.