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Finding the Third Proportional to 215,254 and 424,988

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Solution

The third proportional to 215,254 and 424,988 is: 839,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,254 : 424,988 = 424,988 : x
  2. Step 2: Convert to fraction form
    215,254/424,988 = 424,988/x
  3. Step 3: Cross multiply
    215,254x = 424,988 × 424,988
  4. Step 4: Simplify right side
    215,254x = 180,614,800,144
  5. Step 5: Solve for x
    x = 180,614,800,144/215,254
  6. Step 6: Final answer
    x = 839,077.56

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.