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Finding the Third Proportional to 322,445.81 and 473,212.13

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Solution

The third proportional to 322,445.81 and 473,212.13 is: 694,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,445.81 : 473,212.13 = 473,212.13 : x
  2. Step 2: Convert to fraction form
    322,445.81/473,212.13 = 473,212.13/x
  3. Step 3: Cross multiply
    322,445.81x = 473,212.13 × 473,212.13
  4. Step 4: Simplify right side
    322,445.81x = 223,929,715,247.02
  5. Step 5: Solve for x
    x = 223,929,715,247.02/322,445.81
  6. Step 6: Final answer
    x = 694,472.39

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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.