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Finding the Third Proportional to 328,609.50 and 499,062.75

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Solution

The third proportional to 328,609.50 and 499,062.75 is: 757,931.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,609.50 : 499,062.75 = 499,062.75 : x
  2. Step 2: Convert to fraction form
    328,609.50/499,062.75 = 499,062.75/x
  3. Step 3: Cross multiply
    328,609.50x = 499,062.75 × 499,062.75
  4. Step 4: Simplify right side
    328,609.50x = 249,063,628,437.56
  5. Step 5: Solve for x
    x = 249,063,628,437.56/328,609.50
  6. Step 6: Final answer
    x = 757,931.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.