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Finding the Third Proportional to 332,671 and 719,966

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Solution

The third proportional to 332,671 and 719,966 is: 1,558,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,671 : 719,966 = 719,966 : x
  2. Step 2: Convert to fraction form
    332,671/719,966 = 719,966/x
  3. Step 3: Cross multiply
    332,671x = 719,966 × 719,966
  4. Step 4: Simplify right side
    332,671x = 518,351,041,156
  5. Step 5: Solve for x
    x = 518,351,041,156/332,671
  6. Step 6: Final answer
    x = 1,558,149.17

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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.