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Finding the Third Proportional to 609,265.69 and 942,922.69

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Solution

The third proportional to 609,265.69 and 942,922.69 is: 1,459,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,265.69 : 942,922.69 = 942,922.69 : x
  2. Step 2: Convert to fraction form
    609,265.69/942,922.69 = 942,922.69/x
  3. Step 3: Cross multiply
    609,265.69x = 942,922.69 × 942,922.69
  4. Step 4: Simplify right side
    609,265.69x = 889,103,194,602.22
  5. Step 5: Solve for x
    x = 889,103,194,602.22/609,265.69
  6. Step 6: Final answer
    x = 1,459,302.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.