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Finding the Third Proportional to 324,581 and 701,002

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Solution

The third proportional to 324,581 and 701,002 is: 1,513,963.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,581 : 701,002 = 701,002 : x
  2. Step 2: Convert to fraction form
    324,581/701,002 = 701,002/x
  3. Step 3: Cross multiply
    324,581x = 701,002 × 701,002
  4. Step 4: Simplify right side
    324,581x = 491,403,804,004
  5. Step 5: Solve for x
    x = 491,403,804,004/324,581
  6. Step 6: Final answer
    x = 1,513,963.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.