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Finding the Third Proportional to 317,212 and 467,054

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Solution

The third proportional to 317,212 and 467,054 is: 687,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,212 : 467,054 = 467,054 : x
  2. Step 2: Convert to fraction form
    317,212/467,054 = 467,054/x
  3. Step 3: Cross multiply
    317,212x = 467,054 × 467,054
  4. Step 4: Simplify right side
    317,212x = 218,139,438,916
  5. Step 5: Solve for x
    x = 218,139,438,916/317,212
  6. Step 6: Final answer
    x = 687,677.13

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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.