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Finding the Third Proportional to 300,118.92 and 457,685.44

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Solution

The third proportional to 300,118.92 and 457,685.44 is: 697,976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,118.92 : 457,685.44 = 457,685.44 : x
  2. Step 2: Convert to fraction form
    300,118.92/457,685.44 = 457,685.44/x
  3. Step 3: Cross multiply
    300,118.92x = 457,685.44 × 457,685.44
  4. Step 4: Simplify right side
    300,118.92x = 209,475,959,699.57
  5. Step 5: Solve for x
    x = 209,475,959,699.57/300,118.92
  6. Step 6: Final answer
    x = 697,976.52

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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.