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Finding the Third Proportional to 312,079.50 and 677,058

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Solution

The third proportional to 312,079.50 and 677,058 is: 1,468,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,079.50 : 677,058 = 677,058 : x
  2. Step 2: Convert to fraction form
    312,079.50/677,058 = 677,058/x
  3. Step 3: Cross multiply
    312,079.50x = 677,058 × 677,058
  4. Step 4: Simplify right side
    312,079.50x = 458,407,535,364
  5. Step 5: Solve for x
    x = 458,407,535,364/312,079.50
  6. Step 6: Final answer
    x = 1,468,880.64

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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.