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Finding the Third Proportional to 326,614.50 and 499,641.75

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Solution

The third proportional to 326,614.50 and 499,641.75 is: 764,331.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,614.50 : 499,641.75 = 499,641.75 : x
  2. Step 2: Convert to fraction form
    326,614.50/499,641.75 = 499,641.75/x
  3. Step 3: Cross multiply
    326,614.50x = 499,641.75 × 499,641.75
  4. Step 4: Simplify right side
    326,614.50x = 249,641,878,343.06
  5. Step 5: Solve for x
    x = 249,641,878,343.06/326,614.50
  6. Step 6: Final answer
    x = 764,331.89

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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.