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Finding the Third Proportional to 406,334 and 619,815

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Solution

The third proportional to 406,334 and 619,815 is: 945,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,334 : 619,815 = 619,815 : x
  2. Step 2: Convert to fraction form
    406,334/619,815 = 619,815/x
  3. Step 3: Cross multiply
    406,334x = 619,815 × 619,815
  4. Step 4: Simplify right side
    406,334x = 384,170,634,225
  5. Step 5: Solve for x
    x = 384,170,634,225/406,334
  6. Step 6: Final answer
    x = 945,455.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.