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Finding the Third Proportional to 332,824 and 718,132

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Solution

The third proportional to 332,824 and 718,132 is: 1,549,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,824 : 718,132 = 718,132 : x
  2. Step 2: Convert to fraction form
    332,824/718,132 = 718,132/x
  3. Step 3: Cross multiply
    332,824x = 718,132 × 718,132
  4. Step 4: Simplify right side
    332,824x = 515,713,569,424
  5. Step 5: Solve for x
    x = 515,713,569,424/332,824
  6. Step 6: Final answer
    x = 1,549,508.36

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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.