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Finding the Third Proportional to 326,150 and 498,952

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Solution

The third proportional to 326,150 and 498,952 is: 763,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,150 : 498,952 = 498,952 : x
  2. Step 2: Convert to fraction form
    326,150/498,952 = 498,952/x
  3. Step 3: Cross multiply
    326,150x = 498,952 × 498,952
  4. Step 4: Simplify right side
    326,150x = 248,953,098,304
  5. Step 5: Solve for x
    x = 248,953,098,304/326,150
  6. Step 6: Final answer
    x = 763,308.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.