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Finding the Third Proportional to 406,842 and 613,233

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Solution

The third proportional to 406,842 and 613,233 is: 924,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,842 : 613,233 = 613,233 : x
  2. Step 2: Convert to fraction form
    406,842/613,233 = 613,233/x
  3. Step 3: Cross multiply
    406,842x = 613,233 × 613,233
  4. Step 4: Simplify right side
    406,842x = 376,054,712,289
  5. Step 5: Solve for x
    x = 376,054,712,289/406,842
  6. Step 6: Final answer
    x = 924,326.18

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Why These Related Problems?

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