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Finding the Third Proportional to 322,661.25 and 666,038.25

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Solution

The third proportional to 322,661.25 and 666,038.25 is: 1,374,838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,661.25 : 666,038.25 = 666,038.25 : x
  2. Step 2: Convert to fraction form
    322,661.25/666,038.25 = 666,038.25/x
  3. Step 3: Cross multiply
    322,661.25x = 666,038.25 × 666,038.25
  4. Step 4: Simplify right side
    322,661.25x = 443,606,950,463.06
  5. Step 5: Solve for x
    x = 443,606,950,463.06/322,661.25
  6. Step 6: Final answer
    x = 1,374,838.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.