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Finding the Third Proportional to 317,178 and 467,007

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Solution

The third proportional to 317,178 and 467,007 is: 687,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,178 : 467,007 = 467,007 : x
  2. Step 2: Convert to fraction form
    317,178/467,007 = 467,007/x
  3. Step 3: Cross multiply
    317,178x = 467,007 × 467,007
  4. Step 4: Simplify right side
    317,178x = 218,095,538,049
  5. Step 5: Solve for x
    x = 218,095,538,049/317,178
  6. Step 6: Final answer
    x = 687,612.44

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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.