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Finding the Third Proportional to 285,285 and 441,510

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Solution

The third proportional to 285,285 and 441,510 is: 683,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,285 : 441,510 = 441,510 : x
  2. Step 2: Convert to fraction form
    285,285/441,510 = 441,510/x
  3. Step 3: Cross multiply
    285,285x = 441,510 × 441,510
  4. Step 4: Simplify right side
    285,285x = 194,931,080,100
  5. Step 5: Solve for x
    x = 194,931,080,100/285,285
  6. Step 6: Final answer
    x = 683,285.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.