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Finding the Third Proportional to 468,678 and 699,949

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Solution

The third proportional to 468,678 and 699,949 is: 1,045,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,678 : 699,949 = 699,949 : x
  2. Step 2: Convert to fraction form
    468,678/699,949 = 699,949/x
  3. Step 3: Cross multiply
    468,678x = 699,949 × 699,949
  4. Step 4: Simplify right side
    468,678x = 489,928,602,601
  5. Step 5: Solve for x
    x = 489,928,602,601/468,678
  6. Step 6: Final answer
    x = 1,045,341.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.