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Finding the Third Proportional to 627,176 and 942,178

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Solution

The third proportional to 627,176 and 942,178 is: 1,415,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,176 : 942,178 = 942,178 : x
  2. Step 2: Convert to fraction form
    627,176/942,178 = 942,178/x
  3. Step 3: Cross multiply
    627,176x = 942,178 × 942,178
  4. Step 4: Simplify right side
    627,176x = 887,699,383,684
  5. Step 5: Solve for x
    x = 887,699,383,684/627,176
  6. Step 6: Final answer
    x = 1,415,391.19

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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.