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Finding the Third Proportional to 317,268 and 467,130

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Solution

The third proportional to 317,268 and 467,130 is: 687,779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,268 : 467,130 = 467,130 : x
  2. Step 2: Convert to fraction form
    317,268/467,130 = 467,130/x
  3. Step 3: Cross multiply
    317,268x = 467,130 × 467,130
  4. Step 4: Simplify right side
    317,268x = 218,210,436,900
  5. Step 5: Solve for x
    x = 218,210,436,900/317,268
  6. Step 6: Final answer
    x = 687,779.53

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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.