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Finding the Third Proportional to 347,348.25 and 519,564.38

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Solution

The third proportional to 347,348.25 and 519,564.38 is: 777,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,348.25 : 519,564.38 = 519,564.38 : x
  2. Step 2: Convert to fraction form
    347,348.25/519,564.38 = 519,564.38/x
  3. Step 3: Cross multiply
    347,348.25x = 519,564.38 × 519,564.38
  4. Step 4: Simplify right side
    347,348.25x = 269,947,139,769.14
  5. Step 5: Solve for x
    x = 269,947,139,769.14/347,348.25
  6. Step 6: Final answer
    x = 777,165.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.