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Finding the Third Proportional to 321,691.50 and 473,168.25

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Solution

The third proportional to 321,691.50 and 473,168.25 is: 695,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,691.50 : 473,168.25 = 473,168.25 : x
  2. Step 2: Convert to fraction form
    321,691.50/473,168.25 = 473,168.25/x
  3. Step 3: Cross multiply
    321,691.50x = 473,168.25 × 473,168.25
  4. Step 4: Simplify right side
    321,691.50x = 223,888,192,808.06
  5. Step 5: Solve for x
    x = 223,888,192,808.06/321,691.50
  6. Step 6: Final answer
    x = 695,971.74

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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.