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Finding the Third Proportional to 467,866.13 and 668,553.75

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Solution

The third proportional to 467,866.13 and 668,553.75 is: 955,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,866.13 : 668,553.75 = 668,553.75 : x
  2. Step 2: Convert to fraction form
    467,866.13/668,553.75 = 668,553.75/x
  3. Step 3: Cross multiply
    467,866.13x = 668,553.75 × 668,553.75
  4. Step 4: Simplify right side
    467,866.13x = 446,964,116,639.06
  5. Step 5: Solve for x
    x = 446,964,116,639.06/467,866.13
  6. Step 6: Final answer
    x = 955,324.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.