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Finding the Third Proportional to 398,768.06 and 595,544.91

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Solution

The third proportional to 398,768.06 and 595,544.91 is: 889,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,768.06 : 595,544.91 = 595,544.91 : x
  2. Step 2: Convert to fraction form
    398,768.06/595,544.91 = 595,544.91/x
  3. Step 3: Cross multiply
    398,768.06x = 595,544.91 × 595,544.91
  4. Step 4: Simplify right side
    398,768.06x = 354,673,735,360.32
  5. Step 5: Solve for x
    x = 354,673,735,360.32/398,768.06
  6. Step 6: Final answer
    x = 889,423.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.