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Finding the Third Proportional to 321,669.75 and 687,513

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Solution

The third proportional to 321,669.75 and 687,513 is: 1,469,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,669.75 : 687,513 = 687,513 : x
  2. Step 2: Convert to fraction form
    321,669.75/687,513 = 687,513/x
  3. Step 3: Cross multiply
    321,669.75x = 687,513 × 687,513
  4. Step 4: Simplify right side
    321,669.75x = 472,674,125,169
  5. Step 5: Solve for x
    x = 472,674,125,169/321,669.75
  6. Step 6: Final answer
    x = 1,469,439.15

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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.