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Finding the Third Proportional to 398,044.50 and 595,608

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Solution

The third proportional to 398,044.50 and 595,608 is: 891,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,044.50 : 595,608 = 595,608 : x
  2. Step 2: Convert to fraction form
    398,044.50/595,608 = 595,608/x
  3. Step 3: Cross multiply
    398,044.50x = 595,608 × 595,608
  4. Step 4: Simplify right side
    398,044.50x = 354,748,889,664
  5. Step 5: Solve for x
    x = 354,748,889,664/398,044.50
  6. Step 6: Final answer
    x = 891,229.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.