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Finding the Third Proportional to 308,898 and 676,854

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Solution

The third proportional to 308,898 and 676,854 is: 1,483,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,898 : 676,854 = 676,854 : x
  2. Step 2: Convert to fraction form
    308,898/676,854 = 676,854/x
  3. Step 3: Cross multiply
    308,898x = 676,854 × 676,854
  4. Step 4: Simplify right side
    308,898x = 458,131,337,316
  5. Step 5: Solve for x
    x = 458,131,337,316/308,898
  6. Step 6: Final answer
    x = 1,483,115.26

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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.