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Finding the Third Proportional to 319,166 and 485,661

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Solution

The third proportional to 319,166 and 485,661 is: 739,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,166 : 485,661 = 485,661 : x
  2. Step 2: Convert to fraction form
    319,166/485,661 = 485,661/x
  3. Step 3: Cross multiply
    319,166x = 485,661 × 485,661
  4. Step 4: Simplify right side
    319,166x = 235,866,606,921
  5. Step 5: Solve for x
    x = 235,866,606,921/319,166
  6. Step 6: Final answer
    x = 739,009.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.