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Finding the Third Proportional to 665,794.69 and 942,085.69

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Solution

The third proportional to 665,794.69 and 942,085.69 is: 1,333,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,794.69 : 942,085.69 = 942,085.69 : x
  2. Step 2: Convert to fraction form
    665,794.69/942,085.69 = 942,085.69/x
  3. Step 3: Cross multiply
    665,794.69x = 942,085.69 × 942,085.69
  4. Step 4: Simplify right side
    665,794.69x = 887,525,442,592.35
  5. Step 5: Solve for x
    x = 887,525,442,592.35/665,794.69
  6. Step 6: Final answer
    x = 1,333,031.73

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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.