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Finding the Third Proportional to 322,041 and 473,211

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Solution

The third proportional to 322,041 and 473,211 is: 695,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,041 : 473,211 = 473,211 : x
  2. Step 2: Convert to fraction form
    322,041/473,211 = 473,211/x
  3. Step 3: Cross multiply
    322,041x = 473,211 × 473,211
  4. Step 4: Simplify right side
    322,041x = 223,928,650,521
  5. Step 5: Solve for x
    x = 223,928,650,521/322,041
  6. Step 6: Final answer
    x = 695,342.05

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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.