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Finding the Third Proportional to 451,649.25 and 660,510

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Solution

The third proportional to 451,649.25 and 660,510 is: 965,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,649.25 : 660,510 = 660,510 : x
  2. Step 2: Convert to fraction form
    451,649.25/660,510 = 660,510/x
  3. Step 3: Cross multiply
    451,649.25x = 660,510 × 660,510
  4. Step 4: Simplify right side
    451,649.25x = 436,273,460,100
  5. Step 5: Solve for x
    x = 436,273,460,100/451,649.25
  6. Step 6: Final answer
    x = 965,956.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.