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Finding the Third Proportional to 385,569 and 836,748

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Solution

The third proportional to 385,569 and 836,748 is: 1,815,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,569 : 836,748 = 836,748 : x
  2. Step 2: Convert to fraction form
    385,569/836,748 = 836,748/x
  3. Step 3: Cross multiply
    385,569x = 836,748 × 836,748
  4. Step 4: Simplify right side
    385,569x = 700,147,215,504
  5. Step 5: Solve for x
    x = 700,147,215,504/385,569
  6. Step 6: Final answer
    x = 1,815,880.47

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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.