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Finding the Third Proportional to 665,806.50 and 942,102

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Solution

The third proportional to 665,806.50 and 942,102 is: 1,333,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,806.50 : 942,102 = 942,102 : x
  2. Step 2: Convert to fraction form
    665,806.50/942,102 = 942,102/x
  3. Step 3: Cross multiply
    665,806.50x = 942,102 × 942,102
  4. Step 4: Simplify right side
    665,806.50x = 887,556,178,404
  5. Step 5: Solve for x
    x = 887,556,178,404/665,806.50
  6. Step 6: Final answer
    x = 1,333,054.24

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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.