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Finding the Third Proportional to 340,225.31 and 513,072.56

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Solution

The third proportional to 340,225.31 and 513,072.56 is: 773,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,225.31 : 513,072.56 = 513,072.56 : x
  2. Step 2: Convert to fraction form
    340,225.31/513,072.56 = 513,072.56/x
  3. Step 3: Cross multiply
    340,225.31x = 513,072.56 × 513,072.56
  4. Step 4: Simplify right side
    340,225.31x = 263,243,454,390.32
  5. Step 5: Solve for x
    x = 263,243,454,390.32/340,225.31
  6. Step 6: Final answer
    x = 773,732.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.