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Finding the Third Proportional to 285,685 and 627,410

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Solution

The third proportional to 285,685 and 627,410 is: 1,377,892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,685 : 627,410 = 627,410 : x
  2. Step 2: Convert to fraction form
    285,685/627,410 = 627,410/x
  3. Step 3: Cross multiply
    285,685x = 627,410 × 627,410
  4. Step 4: Simplify right side
    285,685x = 393,643,308,100
  5. Step 5: Solve for x
    x = 393,643,308,100/285,685
  6. Step 6: Final answer
    x = 1,377,892.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.