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Finding the Third Proportional to 313,904 and 670,896

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Solution

The third proportional to 313,904 and 670,896 is: 1,433,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,904 : 670,896 = 670,896 : x
  2. Step 2: Convert to fraction form
    313,904/670,896 = 670,896/x
  3. Step 3: Cross multiply
    313,904x = 670,896 × 670,896
  4. Step 4: Simplify right side
    313,904x = 450,101,442,816
  5. Step 5: Solve for x
    x = 450,101,442,816/313,904
  6. Step 6: Final answer
    x = 1,433,882.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.