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Finding the Third Proportional to 317,196 and 467,031

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Solution

The third proportional to 317,196 and 467,031 is: 687,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,196 : 467,031 = 467,031 : x
  2. Step 2: Convert to fraction form
    317,196/467,031 = 467,031/x
  3. Step 3: Cross multiply
    317,196x = 467,031 × 467,031
  4. Step 4: Simplify right side
    317,196x = 218,117,954,961
  5. Step 5: Solve for x
    x = 218,117,954,961/317,196
  6. Step 6: Final answer
    x = 687,644.09

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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.