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Finding the Third Proportional to 324,958 and 701,294.50

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Solution

The third proportional to 324,958 and 701,294.50 is: 1,513,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,958 : 701,294.50 = 701,294.50 : x
  2. Step 2: Convert to fraction form
    324,958/701,294.50 = 701,294.50/x
  3. Step 3: Cross multiply
    324,958x = 701,294.50 × 701,294.50
  4. Step 4: Simplify right side
    324,958x = 491,813,975,730.25
  5. Step 5: Solve for x
    x = 491,813,975,730.25/324,958
  6. Step 6: Final answer
    x = 1,513,469.36

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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.