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Finding the Third Proportional to 322,008.75 and 473,162.25

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Solution

The third proportional to 322,008.75 and 473,162.25 is: 695,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,008.75 : 473,162.25 = 473,162.25 : x
  2. Step 2: Convert to fraction form
    322,008.75/473,162.25 = 473,162.25/x
  3. Step 3: Cross multiply
    322,008.75x = 473,162.25 × 473,162.25
  4. Step 4: Simplify right side
    322,008.75x = 223,882,514,825.06
  5. Step 5: Solve for x
    x = 223,882,514,825.06/322,008.75
  6. Step 6: Final answer
    x = 695,268.42

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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.