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Finding the Third Proportional to 324,958 and 701,294

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Solution

The third proportional to 324,958 and 701,294 is: 1,513,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,958 : 701,294 = 701,294 : x
  2. Step 2: Convert to fraction form
    324,958/701,294 = 701,294/x
  3. Step 3: Cross multiply
    324,958x = 701,294 × 701,294
  4. Step 4: Simplify right side
    324,958x = 491,813,274,436
  5. Step 5: Solve for x
    x = 491,813,274,436/324,958
  6. Step 6: Final answer
    x = 1,513,467.20

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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.