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Finding the Third Proportional to 321,666 and 687,505.50

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Solution

The third proportional to 321,666 and 687,505.50 is: 1,469,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,666 : 687,505.50 = 687,505.50 : x
  2. Step 2: Convert to fraction form
    321,666/687,505.50 = 687,505.50/x
  3. Step 3: Cross multiply
    321,666x = 687,505.50 × 687,505.50
  4. Step 4: Simplify right side
    321,666x = 472,663,812,530.25
  5. Step 5: Solve for x
    x = 472,663,812,530.25/321,666
  6. Step 6: Final answer
    x = 1,469,424.22

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