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Finding the Third Proportional to 278,501 and 406,015

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Solution

The third proportional to 278,501 and 406,015 is: 591,912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,501 : 406,015 = 406,015 : x
  2. Step 2: Convert to fraction form
    278,501/406,015 = 406,015/x
  3. Step 3: Cross multiply
    278,501x = 406,015 × 406,015
  4. Step 4: Simplify right side
    278,501x = 164,848,180,225
  5. Step 5: Solve for x
    x = 164,848,180,225/278,501
  6. Step 6: Final answer
    x = 591,912.35

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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.