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Finding the Third Proportional to 285,308 and 441,536

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Solution

The third proportional to 285,308 and 441,536 is: 683,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,308 : 441,536 = 441,536 : x
  2. Step 2: Convert to fraction form
    285,308/441,536 = 441,536/x
  3. Step 3: Cross multiply
    285,308x = 441,536 × 441,536
  4. Step 4: Simplify right side
    285,308x = 194,954,039,296
  5. Step 5: Solve for x
    x = 194,954,039,296/285,308
  6. Step 6: Final answer
    x = 683,310.81

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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.