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Finding the Third Proportional to 398,968 and 865,756

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Solution

The third proportional to 398,968 and 865,756 is: 1,878,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,968 : 865,756 = 865,756 : x
  2. Step 2: Convert to fraction form
    398,968/865,756 = 865,756/x
  3. Step 3: Cross multiply
    398,968x = 865,756 × 865,756
  4. Step 4: Simplify right side
    398,968x = 749,533,451,536
  5. Step 5: Solve for x
    x = 749,533,451,536/398,968
  6. Step 6: Final answer
    x = 1,878,680.62

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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.