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Finding the Third Proportional to 322,557.75 and 498,613.50

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Solution

The third proportional to 322,557.75 and 498,613.50 is: 770,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,557.75 : 498,613.50 = 498,613.50 : x
  2. Step 2: Convert to fraction form
    322,557.75/498,613.50 = 498,613.50/x
  3. Step 3: Cross multiply
    322,557.75x = 498,613.50 × 498,613.50
  4. Step 4: Simplify right side
    322,557.75x = 248,615,422,382.25
  5. Step 5: Solve for x
    x = 248,615,422,382.25/322,557.75
  6. Step 6: Final answer
    x = 770,762.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.