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Finding the Third Proportional to 406,620 and 609,930

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Solution

The third proportional to 406,620 and 609,930 is: 914,895

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,620 : 609,930 = 609,930 : x
  2. Step 2: Convert to fraction form
    406,620/609,930 = 609,930/x
  3. Step 3: Cross multiply
    406,620x = 609,930 × 609,930
  4. Step 4: Simplify right side
    406,620x = 372,014,604,900
  5. Step 5: Solve for x
    x = 372,014,604,900/406,620
  6. Step 6: Final answer
    x = 914,895

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.