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Finding the Third Proportional to 401,948.75 and 836,976

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Solution

The third proportional to 401,948.75 and 836,976 is: 1,742,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,948.75 : 836,976 = 836,976 : x
  2. Step 2: Convert to fraction form
    401,948.75/836,976 = 836,976/x
  3. Step 3: Cross multiply
    401,948.75x = 836,976 × 836,976
  4. Step 4: Simplify right side
    401,948.75x = 700,528,824,576
  5. Step 5: Solve for x
    x = 700,528,824,576/401,948.75
  6. Step 6: Final answer
    x = 1,742,831.21

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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.