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Finding the Third Proportional to 317,292 and 467,148

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Solution

The third proportional to 317,292 and 467,148 is: 687,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,292 : 467,148 = 467,148 : x
  2. Step 2: Convert to fraction form
    317,292/467,148 = 467,148/x
  3. Step 3: Cross multiply
    317,292x = 467,148 × 467,148
  4. Step 4: Simplify right side
    317,292x = 218,227,253,904
  5. Step 5: Solve for x
    x = 218,227,253,904/317,292
  6. Step 6: Final answer
    x = 687,780.51

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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.