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Finding the Third Proportional to 308,930 and 676,924

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Solution

The third proportional to 308,930 and 676,924 is: 1,483,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,930 : 676,924 = 676,924 : x
  2. Step 2: Convert to fraction form
    308,930/676,924 = 676,924/x
  3. Step 3: Cross multiply
    308,930x = 676,924 × 676,924
  4. Step 4: Simplify right side
    308,930x = 458,226,101,776
  5. Step 5: Solve for x
    x = 458,226,101,776/308,930
  6. Step 6: Final answer
    x = 1,483,268.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.