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Finding the Third Proportional to 326,231.75 and 499,098.25

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Solution

The third proportional to 326,231.75 and 499,098.25 is: 763,564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,231.75 : 499,098.25 = 499,098.25 : x
  2. Step 2: Convert to fraction form
    326,231.75/499,098.25 = 499,098.25/x
  3. Step 3: Cross multiply
    326,231.75x = 499,098.25 × 499,098.25
  4. Step 4: Simplify right side
    326,231.75x = 249,099,063,153.06
  5. Step 5: Solve for x
    x = 249,099,063,153.06/326,231.75
  6. Step 6: Final answer
    x = 763,564.75

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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.