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Finding the Third Proportional to 326,046.94 and 498,795.47

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Solution

The third proportional to 326,046.94 and 498,795.47 is: 763,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,046.94 : 498,795.47 = 498,795.47 : x
  2. Step 2: Convert to fraction form
    326,046.94/498,795.47 = 498,795.47/x
  3. Step 3: Cross multiply
    326,046.94x = 498,795.47 × 498,795.47
  4. Step 4: Simplify right side
    326,046.94x = 248,796,919,645.53
  5. Step 5: Solve for x
    x = 248,796,919,645.53/326,046.94
  6. Step 6: Final answer
    x = 763,070.87

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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.