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Finding the Third Proportional to 332,822 and 718,128

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Solution

The third proportional to 332,822 and 718,128 is: 1,549,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,822 : 718,128 = 718,128 : x
  2. Step 2: Convert to fraction form
    332,822/718,128 = 718,128/x
  3. Step 3: Cross multiply
    332,822x = 718,128 × 718,128
  4. Step 4: Simplify right side
    332,822x = 515,707,824,384
  5. Step 5: Solve for x
    x = 515,707,824,384/332,822
  6. Step 6: Final answer
    x = 1,549,500.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.