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Finding the Third Proportional to 666,362 and 949,698

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Solution

The third proportional to 666,362 and 949,698 is: 1,353,507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,362 : 949,698 = 949,698 : x
  2. Step 2: Convert to fraction form
    666,362/949,698 = 949,698/x
  3. Step 3: Cross multiply
    666,362x = 949,698 × 949,698
  4. Step 4: Simplify right side
    666,362x = 901,926,291,204
  5. Step 5: Solve for x
    x = 901,926,291,204/666,362
  6. Step 6: Final answer
    x = 1,353,507.99

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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.