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Finding the Third Proportional to 451,732 and 665,106.75

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Solution

The third proportional to 451,732 and 665,106.75 is: 979,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,732 : 665,106.75 = 665,106.75 : x
  2. Step 2: Convert to fraction form
    451,732/665,106.75 = 665,106.75/x
  3. Step 3: Cross multiply
    451,732x = 665,106.75 × 665,106.75
  4. Step 4: Simplify right side
    451,732x = 442,366,988,895.56
  5. Step 5: Solve for x
    x = 442,366,988,895.56/451,732
  6. Step 6: Final answer
    x = 979,268.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.