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Finding the Third Proportional to 321,005 and 686,479

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Solution

The third proportional to 321,005 and 686,479 is: 1,468,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,005 : 686,479 = 686,479 : x
  2. Step 2: Convert to fraction form
    321,005/686,479 = 686,479/x
  3. Step 3: Cross multiply
    321,005x = 686,479 × 686,479
  4. Step 4: Simplify right side
    321,005x = 471,253,417,441
  5. Step 5: Solve for x
    x = 471,253,417,441/321,005
  6. Step 6: Final answer
    x = 1,468,056.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.