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Finding the Third Proportional to 665,851.50 and 942,165

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Solution

The third proportional to 665,851.50 and 942,165 is: 1,333,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,851.50 : 942,165 = 942,165 : x
  2. Step 2: Convert to fraction form
    665,851.50/942,165 = 942,165/x
  3. Step 3: Cross multiply
    665,851.50x = 942,165 × 942,165
  4. Step 4: Simplify right side
    665,851.50x = 887,674,887,225
  5. Step 5: Solve for x
    x = 887,674,887,225/665,851.50
  6. Step 6: Final answer
    x = 1,333,142.43

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Why These Related Problems?

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