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Finding the Third Proportional to 406,544 and 595,235

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Solution

The third proportional to 406,544 and 595,235 is: 871,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,544 : 595,235 = 595,235 : x
  2. Step 2: Convert to fraction form
    406,544/595,235 = 595,235/x
  3. Step 3: Cross multiply
    406,544x = 595,235 × 595,235
  4. Step 4: Simplify right side
    406,544x = 354,304,705,225
  5. Step 5: Solve for x
    x = 354,304,705,225/406,544
  6. Step 6: Final answer
    x = 871,503.96

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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.