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Finding the Third Proportional to 250,284 and 544,632

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Solution

The third proportional to 250,284 and 544,632 is: 1,185,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,284 : 544,632 = 544,632 : x
  2. Step 2: Convert to fraction form
    250,284/544,632 = 544,632/x
  3. Step 3: Cross multiply
    250,284x = 544,632 × 544,632
  4. Step 4: Simplify right side
    250,284x = 296,624,015,424
  5. Step 5: Solve for x
    x = 296,624,015,424/250,284
  6. Step 6: Final answer
    x = 1,185,149.73

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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.