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Finding the Third Proportional to 317,226 and 467,070

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Solution

The third proportional to 317,226 and 467,070 is: 687,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,226 : 467,070 = 467,070 : x
  2. Step 2: Convert to fraction form
    317,226/467,070 = 467,070/x
  3. Step 3: Cross multiply
    317,226x = 467,070 × 467,070
  4. Step 4: Simplify right side
    317,226x = 218,154,384,900
  5. Step 5: Solve for x
    x = 218,154,384,900/317,226
  6. Step 6: Final answer
    x = 687,693.90

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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.