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Finding the Third Proportional to 339,655.78 and 732,519.07

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Solution

The third proportional to 339,655.78 and 732,519.07 is: 1,579,788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,655.78 : 732,519.07 = 732,519.07 : x
  2. Step 2: Convert to fraction form
    339,655.78/732,519.07 = 732,519.07/x
  3. Step 3: Cross multiply
    339,655.78x = 732,519.07 × 732,519.07
  4. Step 4: Simplify right side
    339,655.78x = 536,584,188,371.49
  5. Step 5: Solve for x
    x = 536,584,188,371.49/339,655.78
  6. Step 6: Final answer
    x = 1,579,788.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.