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Finding the Third Proportional to 627,718 and 805,977

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Solution

The third proportional to 627,718 and 805,977 is: 1,034,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,718 : 805,977 = 805,977 : x
  2. Step 2: Convert to fraction form
    627,718/805,977 = 805,977/x
  3. Step 3: Cross multiply
    627,718x = 805,977 × 805,977
  4. Step 4: Simplify right side
    627,718x = 649,598,924,529
  5. Step 5: Solve for x
    x = 649,598,924,529/627,718
  6. Step 6: Final answer
    x = 1,034,857.89

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.