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Finding the Third Proportional to 332,095 and 687,822

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Solution

The third proportional to 332,095 and 687,822 is: 1,424,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,095 : 687,822 = 687,822 : x
  2. Step 2: Convert to fraction form
    332,095/687,822 = 687,822/x
  3. Step 3: Cross multiply
    332,095x = 687,822 × 687,822
  4. Step 4: Simplify right side
    332,095x = 473,099,103,684
  5. Step 5: Solve for x
    x = 473,099,103,684/332,095
  6. Step 6: Final answer
    x = 1,424,589.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.