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Finding the Third Proportional to 451,634.48 and 660,489.19

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Solution

The third proportional to 451,634.48 and 660,489.19 is: 965,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,634.48 : 660,489.19 = 660,489.19 : x
  2. Step 2: Convert to fraction form
    451,634.48/660,489.19 = 660,489.19/x
  3. Step 3: Cross multiply
    451,634.48x = 660,489.19 × 660,489.19
  4. Step 4: Simplify right side
    451,634.48x = 436,245,966,804.41
  5. Step 5: Solve for x
    x = 436,245,966,804.41/451,634.48
  6. Step 6: Final answer
    x = 965,927.05

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Why These Related Problems?

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