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Finding the Third Proportional to 451,678.78 and 665,039.53

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Solution

The third proportional to 451,678.78 and 665,039.53 is: 979,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,678.78 : 665,039.53 = 665,039.53 : x
  2. Step 2: Convert to fraction form
    451,678.78/665,039.53 = 665,039.53/x
  3. Step 3: Cross multiply
    451,678.78x = 665,039.53 × 665,039.53
  4. Step 4: Simplify right side
    451,678.78x = 442,277,578,125.22
  5. Step 5: Solve for x
    x = 442,277,578,125.22/451,678.78
  6. Step 6: Final answer
    x = 979,186.09

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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.