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Finding the Third Proportional to 340,278.47 and 522,313.31

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Solution

The third proportional to 340,278.47 and 522,313.31 is: 801,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,278.47 : 522,313.31 = 522,313.31 : x
  2. Step 2: Convert to fraction form
    340,278.47/522,313.31 = 522,313.31/x
  3. Step 3: Cross multiply
    340,278.47x = 522,313.31 × 522,313.31
  4. Step 4: Simplify right side
    340,278.47x = 272,811,196,414.72
  5. Step 5: Solve for x
    x = 272,811,196,414.72/340,278.47
  6. Step 6: Final answer
    x = 801,729.23

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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.