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Finding the Third Proportional to 326,231.44 and 499,097.53

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Solution

The third proportional to 326,231.44 and 499,097.53 is: 763,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,231.44 : 499,097.53 = 499,097.53 : x
  2. Step 2: Convert to fraction form
    326,231.44/499,097.53 = 499,097.53/x
  3. Step 3: Cross multiply
    326,231.44x = 499,097.53 × 499,097.53
  4. Step 4: Simplify right side
    326,231.44x = 249,098,345,699.85
  5. Step 5: Solve for x
    x = 249,098,345,699.85/326,231.44
  6. Step 6: Final answer
    x = 763,563.28

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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.