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Finding the Third Proportional to 326,614.78 and 497,072.64

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Solution

The third proportional to 326,614.78 and 497,072.64 is: 756,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,614.78 : 497,072.64 = 497,072.64 : x
  2. Step 2: Convert to fraction form
    326,614.78/497,072.64 = 497,072.64/x
  3. Step 3: Cross multiply
    326,614.78x = 497,072.64 × 497,072.64
  4. Step 4: Simplify right side
    326,614.78x = 247,081,206,174.53
  5. Step 5: Solve for x
    x = 247,081,206,174.53/326,614.78
  6. Step 6: Final answer
    x = 756,491.20

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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.