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Finding the Third Proportional to 666,326.25 and 949,647.38

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Solution

The third proportional to 666,326.25 and 949,647.38 is: 1,353,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,326.25 : 949,647.38 = 949,647.38 : x
  2. Step 2: Convert to fraction form
    666,326.25/949,647.38 = 949,647.38/x
  3. Step 3: Cross multiply
    666,326.25x = 949,647.38 × 949,647.38
  4. Step 4: Simplify right side
    666,326.25x = 901,830,136,844.39
  5. Step 5: Solve for x
    x = 901,830,136,844.39/666,326.25
  6. Step 6: Final answer
    x = 1,353,436.30

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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.