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Finding the Third Proportional to 317,196 and 432,042

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Solution

The third proportional to 317,196 and 432,042 is: 588,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,196 : 432,042 = 432,042 : x
  2. Step 2: Convert to fraction form
    317,196/432,042 = 432,042/x
  3. Step 3: Cross multiply
    317,196x = 432,042 × 432,042
  4. Step 4: Simplify right side
    317,196x = 186,660,289,764
  5. Step 5: Solve for x
    x = 186,660,289,764/317,196
  6. Step 6: Final answer
    x = 588,469.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.