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Finding the Third Proportional to 332,976 and 719,156

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Solution

The third proportional to 332,976 and 719,156 is: 1,553,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,976 : 719,156 = 719,156 : x
  2. Step 2: Convert to fraction form
    332,976/719,156 = 719,156/x
  3. Step 3: Cross multiply
    332,976x = 719,156 × 719,156
  4. Step 4: Simplify right side
    332,976x = 517,185,352,336
  5. Step 5: Solve for x
    x = 517,185,352,336/332,976
  6. Step 6: Final answer
    x = 1,553,221.11

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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.