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Finding the Third Proportional to 336,290 and 703,736

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Solution

The third proportional to 336,290 and 703,736 is: 1,472,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,290 : 703,736 = 703,736 : x
  2. Step 2: Convert to fraction form
    336,290/703,736 = 703,736/x
  3. Step 3: Cross multiply
    336,290x = 703,736 × 703,736
  4. Step 4: Simplify right side
    336,290x = 495,244,357,696
  5. Step 5: Solve for x
    x = 495,244,357,696/336,290
  6. Step 6: Final answer
    x = 1,472,670.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.