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Finding the Third Proportional to 326,231.53 and 499,097.81

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Solution

The third proportional to 326,231.53 and 499,097.81 is: 763,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,231.53 : 499,097.81 = 499,097.81 : x
  2. Step 2: Convert to fraction form
    326,231.53/499,097.81 = 499,097.81/x
  3. Step 3: Cross multiply
    326,231.53x = 499,097.81 × 499,097.81
  4. Step 4: Simplify right side
    326,231.53x = 249,098,626,442.29
  5. Step 5: Solve for x
    x = 249,098,626,442.29/326,231.53
  6. Step 6: Final answer
    x = 763,563.92

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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.