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Finding the Third Proportional to 627,519 and 942,705

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Solution

The third proportional to 627,519 and 942,705 is: 1,416,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,519 : 942,705 = 942,705 : x
  2. Step 2: Convert to fraction form
    627,519/942,705 = 942,705/x
  3. Step 3: Cross multiply
    627,519x = 942,705 × 942,705
  4. Step 4: Simplify right side
    627,519x = 888,692,717,025
  5. Step 5: Solve for x
    x = 888,692,717,025/627,519
  6. Step 6: Final answer
    x = 1,416,200.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.