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Finding the Third Proportional to 291,435 and 686,981

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Solution

The third proportional to 291,435 and 686,981 is: 1,619,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,435 : 686,981 = 686,981 : x
  2. Step 2: Convert to fraction form
    291,435/686,981 = 686,981/x
  3. Step 3: Cross multiply
    291,435x = 686,981 × 686,981
  4. Step 4: Simplify right side
    291,435x = 471,942,894,361
  5. Step 5: Solve for x
    x = 471,942,894,361/291,435
  6. Step 6: Final answer
    x = 1,619,376.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.