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Finding the Third Proportional to 317,284 and 467,142

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Solution

The third proportional to 317,284 and 467,142 is: 687,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,284 : 467,142 = 467,142 : x
  2. Step 2: Convert to fraction form
    317,284/467,142 = 467,142/x
  3. Step 3: Cross multiply
    317,284x = 467,142 × 467,142
  4. Step 4: Simplify right side
    317,284x = 218,221,648,164
  5. Step 5: Solve for x
    x = 218,221,648,164/317,284
  6. Step 6: Final answer
    x = 687,780.18

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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.