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Finding the Third Proportional to 375,009.75 and 808,658.44

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Solution

The third proportional to 375,009.75 and 808,658.44 is: 1,743,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,009.75 : 808,658.44 = 808,658.44 : x
  2. Step 2: Convert to fraction form
    375,009.75/808,658.44 = 808,658.44/x
  3. Step 3: Cross multiply
    375,009.75x = 808,658.44 × 808,658.44
  4. Step 4: Simplify right side
    375,009.75x = 653,928,468,539.94
  5. Step 5: Solve for x
    x = 653,928,468,539.94/375,009.75
  6. Step 6: Final answer
    x = 1,743,763.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.