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Finding the Third Proportional to 317,206 and 467,046

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Solution

The third proportional to 317,206 and 467,046 is: 687,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,206 : 467,046 = 467,046 : x
  2. Step 2: Convert to fraction form
    317,206/467,046 = 467,046/x
  3. Step 3: Cross multiply
    317,206x = 467,046 × 467,046
  4. Step 4: Simplify right side
    317,206x = 218,131,966,116
  5. Step 5: Solve for x
    x = 218,131,966,116/317,206
  6. Step 6: Final answer
    x = 687,666.58

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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.