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Finding the Third Proportional to 427,276.69 and 661,385.25

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Solution

The third proportional to 427,276.69 and 661,385.25 is: 1,023,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,276.69 : 661,385.25 = 661,385.25 : x
  2. Step 2: Convert to fraction form
    427,276.69/661,385.25 = 661,385.25/x
  3. Step 3: Cross multiply
    427,276.69x = 661,385.25 × 661,385.25
  4. Step 4: Simplify right side
    427,276.69x = 437,430,448,917.56
  5. Step 5: Solve for x
    x = 437,430,448,917.56/427,276.69
  6. Step 6: Final answer
    x = 1,023,763.90

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