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Finding the Third Proportional to 406,839 and 613,228.50

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Solution

The third proportional to 406,839 and 613,228.50 is: 924,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,839 : 613,228.50 = 613,228.50 : x
  2. Step 2: Convert to fraction form
    406,839/613,228.50 = 613,228.50/x
  3. Step 3: Cross multiply
    406,839x = 613,228.50 × 613,228.50
  4. Step 4: Simplify right side
    406,839x = 376,049,193,212.25
  5. Step 5: Solve for x
    x = 376,049,193,212.25/406,839
  6. Step 6: Final answer
    x = 924,319.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.