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Finding the Third Proportional to 317,727 and 469,198.50

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Solution

The third proportional to 317,727 and 469,198.50 is: 692,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,727 : 469,198.50 = 469,198.50 : x
  2. Step 2: Convert to fraction form
    317,727/469,198.50 = 469,198.50/x
  3. Step 3: Cross multiply
    317,727x = 469,198.50 × 469,198.50
  4. Step 4: Simplify right side
    317,727x = 220,147,232,402.25
  5. Step 5: Solve for x
    x = 220,147,232,402.25/317,727
  6. Step 6: Final answer
    x = 692,881.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.