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Finding the Third Proportional to 324,580 and 701,000

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Solution

The third proportional to 324,580 and 701,000 is: 1,513,959.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,580 : 701,000 = 701,000 : x
  2. Step 2: Convert to fraction form
    324,580/701,000 = 701,000/x
  3. Step 3: Cross multiply
    324,580x = 701,000 × 701,000
  4. Step 4: Simplify right side
    324,580x = 491,401,000,000
  5. Step 5: Solve for x
    x = 491,401,000,000/324,580
  6. Step 6: Final answer
    x = 1,513,959.58

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