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Finding the Third Proportional to 627,319 and 996,929

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Solution

The third proportional to 627,319 and 996,929 is: 1,584,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,319 : 996,929 = 996,929 : x
  2. Step 2: Convert to fraction form
    627,319/996,929 = 996,929/x
  3. Step 3: Cross multiply
    627,319x = 996,929 × 996,929
  4. Step 4: Simplify right side
    627,319x = 993,867,431,041
  5. Step 5: Solve for x
    x = 993,867,431,041/627,319
  6. Step 6: Final answer
    x = 1,584,309.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.