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Finding the Third Proportional to 321,956 and 473,055

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Solution

The third proportional to 321,956 and 473,055 is: 695,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,956 : 473,055 = 473,055 : x
  2. Step 2: Convert to fraction form
    321,956/473,055 = 473,055/x
  3. Step 3: Cross multiply
    321,956x = 473,055 × 473,055
  4. Step 4: Simplify right side
    321,956x = 223,781,033,025
  5. Step 5: Solve for x
    x = 223,781,033,025/321,956
  6. Step 6: Final answer
    x = 695,067.13

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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.