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Finding the Third Proportional to 321,584 and 472,741

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Solution

The third proportional to 321,584 and 472,741 is: 694,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,584 : 472,741 = 472,741 : x
  2. Step 2: Convert to fraction form
    321,584/472,741 = 472,741/x
  3. Step 3: Cross multiply
    321,584x = 472,741 × 472,741
  4. Step 4: Simplify right side
    321,584x = 223,484,053,081
  5. Step 5: Solve for x
    x = 223,484,053,081/321,584
  6. Step 6: Final answer
    x = 694,947.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.