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Finding the Third Proportional to 210,282 and 454,476

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Solution

The third proportional to 210,282 and 454,476 is: 982,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,282 : 454,476 = 454,476 : x
  2. Step 2: Convert to fraction form
    210,282/454,476 = 454,476/x
  3. Step 3: Cross multiply
    210,282x = 454,476 × 454,476
  4. Step 4: Simplify right side
    210,282x = 206,548,434,576
  5. Step 5: Solve for x
    x = 206,548,434,576/210,282
  6. Step 6: Final answer
    x = 982,244.96

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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.