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Finding the Third Proportional to 465,275 and 701,801

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Solution

The third proportional to 465,275 and 701,801 is: 1,058,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,275 : 701,801 = 701,801 : x
  2. Step 2: Convert to fraction form
    465,275/701,801 = 701,801/x
  3. Step 3: Cross multiply
    465,275x = 701,801 × 701,801
  4. Step 4: Simplify right side
    465,275x = 492,524,643,601
  5. Step 5: Solve for x
    x = 492,524,643,601/465,275
  6. Step 6: Final answer
    x = 1,058,566.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.