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Finding the Third Proportional to 332,981 and 719,244

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Solution

The third proportional to 332,981 and 719,244 is: 1,553,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,981 : 719,244 = 719,244 : x
  2. Step 2: Convert to fraction form
    332,981/719,244 = 719,244/x
  3. Step 3: Cross multiply
    332,981x = 719,244 × 719,244
  4. Step 4: Simplify right side
    332,981x = 517,311,931,536
  5. Step 5: Solve for x
    x = 517,311,931,536/332,981
  6. Step 6: Final answer
    x = 1,553,577.93

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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.