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Finding the Third Proportional to 288,925.31 and 444,664.69

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Solution

The third proportional to 288,925.31 and 444,664.69 is: 684,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,925.31 : 444,664.69 = 444,664.69 : x
  2. Step 2: Convert to fraction form
    288,925.31/444,664.69 = 444,664.69/x
  3. Step 3: Cross multiply
    288,925.31x = 444,664.69 × 444,664.69
  4. Step 4: Simplify right side
    288,925.31x = 197,726,684,309.47
  5. Step 5: Solve for x
    x = 197,726,684,309.47/288,925.31
  6. Step 6: Final answer
    x = 684,352.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.