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Finding the Third Proportional to 414,827 and 659,606

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Solution

The third proportional to 414,827 and 659,606 is: 1,048,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,827 : 659,606 = 659,606 : x
  2. Step 2: Convert to fraction form
    414,827/659,606 = 659,606/x
  3. Step 3: Cross multiply
    414,827x = 659,606 × 659,606
  4. Step 4: Simplify right side
    414,827x = 435,080,075,236
  5. Step 5: Solve for x
    x = 435,080,075,236/414,827
  6. Step 6: Final answer
    x = 1,048,822.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.