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Finding the Third Proportional to 235,658.25 and 498,613.50

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Solution

The third proportional to 235,658.25 and 498,613.50 is: 1,054,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,658.25 : 498,613.50 = 498,613.50 : x
  2. Step 2: Convert to fraction form
    235,658.25/498,613.50 = 498,613.50/x
  3. Step 3: Cross multiply
    235,658.25x = 498,613.50 × 498,613.50
  4. Step 4: Simplify right side
    235,658.25x = 248,615,422,382.25
  5. Step 5: Solve for x
    x = 248,615,422,382.25/235,658.25
  6. Step 6: Final answer
    x = 1,054,982.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.