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Finding the Third Proportional to 627,366 and 942,465

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Solution

The third proportional to 627,366 and 942,465 is: 1,415,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,366 : 942,465 = 942,465 : x
  2. Step 2: Convert to fraction form
    627,366/942,465 = 942,465/x
  3. Step 3: Cross multiply
    627,366x = 942,465 × 942,465
  4. Step 4: Simplify right side
    627,366x = 888,240,276,225
  5. Step 5: Solve for x
    x = 888,240,276,225/627,366
  6. Step 6: Final answer
    x = 1,415,824.70

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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.