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Finding the Third Proportional to 300,078 and 651,678

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Solution

The third proportional to 300,078 and 651,678 is: 1,415,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,078 : 651,678 = 651,678 : x
  2. Step 2: Convert to fraction form
    300,078/651,678 = 651,678/x
  3. Step 3: Cross multiply
    300,078x = 651,678 × 651,678
  4. Step 4: Simplify right side
    300,078x = 424,684,215,684
  5. Step 5: Solve for x
    x = 424,684,215,684/300,078
  6. Step 6: Final answer
    x = 1,415,246.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.