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Finding the Third Proportional to 317,260 and 467,118

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Solution

The third proportional to 317,260 and 467,118 is: 687,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,260 : 467,118 = 467,118 : x
  2. Step 2: Convert to fraction form
    317,260/467,118 = 467,118/x
  3. Step 3: Cross multiply
    317,260x = 467,118 × 467,118
  4. Step 4: Simplify right side
    317,260x = 218,199,225,924
  5. Step 5: Solve for x
    x = 218,199,225,924/317,260
  6. Step 6: Final answer
    x = 687,761.54

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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.