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Finding the Third Proportional to 250,294 and 544,652

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Solution

The third proportional to 250,294 and 544,652 is: 1,185,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,294 : 544,652 = 544,652 : x
  2. Step 2: Convert to fraction form
    250,294/544,652 = 544,652/x
  3. Step 3: Cross multiply
    250,294x = 544,652 × 544,652
  4. Step 4: Simplify right side
    250,294x = 296,645,801,104
  5. Step 5: Solve for x
    x = 296,645,801,104/250,294
  6. Step 6: Final answer
    x = 1,185,189.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.