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Finding the Third Proportional to 398,045 and 595,609

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Solution

The third proportional to 398,045 and 595,609 is: 891,231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,045 : 595,609 = 595,609 : x
  2. Step 2: Convert to fraction form
    398,045/595,609 = 595,609/x
  3. Step 3: Cross multiply
    398,045x = 595,609 × 595,609
  4. Step 4: Simplify right side
    398,045x = 354,750,080,881
  5. Step 5: Solve for x
    x = 354,750,080,881/398,045
  6. Step 6: Final answer
    x = 891,231.09

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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.