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Finding the Third Proportional to 321,000 and 683,472

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Solution

The third proportional to 321,000 and 683,472 is: 1,455,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,000 : 683,472 = 683,472 : x
  2. Step 2: Convert to fraction form
    321,000/683,472 = 683,472/x
  3. Step 3: Cross multiply
    321,000x = 683,472 × 683,472
  4. Step 4: Simplify right side
    321,000x = 467,133,974,784
  5. Step 5: Solve for x
    x = 467,133,974,784/321,000
  6. Step 6: Final answer
    x = 1,455,246.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.