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Finding the Third Proportional to 332,965 and 719,134

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Solution

The third proportional to 332,965 and 719,134 is: 1,553,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,965 : 719,134 = 719,134 : x
  2. Step 2: Convert to fraction form
    332,965/719,134 = 719,134/x
  3. Step 3: Cross multiply
    332,965x = 719,134 × 719,134
  4. Step 4: Simplify right side
    332,965x = 517,153,709,956
  5. Step 5: Solve for x
    x = 517,153,709,956/332,965
  6. Step 6: Final answer
    x = 1,553,177.39

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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.