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Finding the Third Proportional to 401,727 and 836,784

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Solution

The third proportional to 401,727 and 836,784 is: 1,742,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,727 : 836,784 = 836,784 : x
  2. Step 2: Convert to fraction form
    401,727/836,784 = 836,784/x
  3. Step 3: Cross multiply
    401,727x = 836,784 × 836,784
  4. Step 4: Simplify right side
    401,727x = 700,207,462,656
  5. Step 5: Solve for x
    x = 700,207,462,656/401,727
  6. Step 6: Final answer
    x = 1,742,993.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.