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Finding the Third Proportional to 293,686 and 466,786

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Solution

The third proportional to 293,686 and 466,786 is: 741,912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,686 : 466,786 = 466,786 : x
  2. Step 2: Convert to fraction form
    293,686/466,786 = 466,786/x
  3. Step 3: Cross multiply
    293,686x = 466,786 × 466,786
  4. Step 4: Simplify right side
    293,686x = 217,889,169,796
  5. Step 5: Solve for x
    x = 217,889,169,796/293,686
  6. Step 6: Final answer
    x = 741,912.01

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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.