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Finding the Third Proportional to 215,144 and 466,576

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Solution

The third proportional to 215,144 and 466,576 is: 1,011,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,144 : 466,576 = 466,576 : x
  2. Step 2: Convert to fraction form
    215,144/466,576 = 466,576/x
  3. Step 3: Cross multiply
    215,144x = 466,576 × 466,576
  4. Step 4: Simplify right side
    215,144x = 217,693,163,776
  5. Step 5: Solve for x
    x = 217,693,163,776/215,144
  6. Step 6: Final answer
    x = 1,011,848.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.