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Finding the Third Proportional to 321,598.50 and 472,767

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Solution

The third proportional to 321,598.50 and 472,767 is: 694,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,598.50 : 472,767 = 472,767 : x
  2. Step 2: Convert to fraction form
    321,598.50/472,767 = 472,767/x
  3. Step 3: Cross multiply
    321,598.50x = 472,767 × 472,767
  4. Step 4: Simplify right side
    321,598.50x = 223,508,636,289
  5. Step 5: Solve for x
    x = 223,508,636,289/321,598.50
  6. Step 6: Final answer
    x = 694,992.78

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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.