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Finding the Third Proportional to 316,936 and 703,856

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Solution

The third proportional to 316,936 and 703,856 is: 1,563,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,936 : 703,856 = 703,856 : x
  2. Step 2: Convert to fraction form
    316,936/703,856 = 703,856/x
  3. Step 3: Cross multiply
    316,936x = 703,856 × 703,856
  4. Step 4: Simplify right side
    316,936x = 495,413,268,736
  5. Step 5: Solve for x
    x = 495,413,268,736/316,936
  6. Step 6: Final answer
    x = 1,563,133.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.