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Finding the Third Proportional to 403,191 and 595,593

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Solution

The third proportional to 403,191 and 595,593 is: 879,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,191 : 595,593 = 595,593 : x
  2. Step 2: Convert to fraction form
    403,191/595,593 = 595,593/x
  3. Step 3: Cross multiply
    403,191x = 595,593 × 595,593
  4. Step 4: Simplify right side
    403,191x = 354,731,021,649
  5. Step 5: Solve for x
    x = 354,731,021,649/403,191
  6. Step 6: Final answer
    x = 879,808.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.