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Finding the Third Proportional to 476,736 and 706,857

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Solution

The third proportional to 476,736 and 706,857 is: 1,048,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,736 : 706,857 = 706,857 : x
  2. Step 2: Convert to fraction form
    476,736/706,857 = 706,857/x
  3. Step 3: Cross multiply
    476,736x = 706,857 × 706,857
  4. Step 4: Simplify right side
    476,736x = 499,646,818,449
  5. Step 5: Solve for x
    x = 499,646,818,449/476,736
  6. Step 6: Final answer
    x = 1,048,057.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.