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Finding the Third Proportional to 406,099 and 595,296

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Solution

The third proportional to 406,099 and 595,296 is: 872,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,099 : 595,296 = 595,296 : x
  2. Step 2: Convert to fraction form
    406,099/595,296 = 595,296/x
  3. Step 3: Cross multiply
    406,099x = 595,296 × 595,296
  4. Step 4: Simplify right side
    406,099x = 354,377,327,616
  5. Step 5: Solve for x
    x = 354,377,327,616/406,099
  6. Step 6: Final answer
    x = 872,637.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.