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Finding the Third Proportional to 665,793 and 942,077.25

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Solution

The third proportional to 665,793 and 942,077.25 is: 1,333,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,793 : 942,077.25 = 942,077.25 : x
  2. Step 2: Convert to fraction form
    665,793/942,077.25 = 942,077.25/x
  3. Step 3: Cross multiply
    665,793x = 942,077.25 × 942,077.25
  4. Step 4: Simplify right side
    665,793x = 887,509,544,967.56
  5. Step 5: Solve for x
    x = 887,509,544,967.56/665,793
  6. Step 6: Final answer
    x = 1,333,011.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.