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Finding the Third Proportional to 321,996.94 and 473,149.69

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Solution

The third proportional to 321,996.94 and 473,149.69 is: 695,257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,996.94 : 473,149.69 = 473,149.69 : x
  2. Step 2: Convert to fraction form
    321,996.94/473,149.69 = 473,149.69/x
  3. Step 3: Cross multiply
    321,996.94x = 473,149.69 × 473,149.69
  4. Step 4: Simplify right side
    321,996.94x = 223,870,626,781.35
  5. Step 5: Solve for x
    x = 223,870,626,781.35/321,996.94
  6. Step 6: Final answer
    x = 695,257.01

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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.