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Finding the Third Proportional to 306,727.31 and 468,394.69

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Solution

The third proportional to 306,727.31 and 468,394.69 is: 715,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,727.31 : 468,394.69 = 468,394.69 : x
  2. Step 2: Convert to fraction form
    306,727.31/468,394.69 = 468,394.69/x
  3. Step 3: Cross multiply
    306,727.31x = 468,394.69 × 468,394.69
  4. Step 4: Simplify right side
    306,727.31x = 219,393,583,278.22
  5. Step 5: Solve for x
    x = 219,393,583,278.22/306,727.31
  6. Step 6: Final answer
    x = 715,272.41

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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.