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Finding the Third Proportional to 406,543 and 595,233

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Solution

The third proportional to 406,543 and 595,233 is: 871,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,543 : 595,233 = 595,233 : x
  2. Step 2: Convert to fraction form
    406,543/595,233 = 595,233/x
  3. Step 3: Cross multiply
    406,543x = 595,233 × 595,233
  4. Step 4: Simplify right side
    406,543x = 354,302,324,289
  5. Step 5: Solve for x
    x = 354,302,324,289/406,543
  6. Step 6: Final answer
    x = 871,500.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.