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Finding the Third Proportional to 401,953.50 and 836,982

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Solution

The third proportional to 401,953.50 and 836,982 is: 1,742,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,953.50 : 836,982 = 836,982 : x
  2. Step 2: Convert to fraction form
    401,953.50/836,982 = 836,982/x
  3. Step 3: Cross multiply
    401,953.50x = 836,982 × 836,982
  4. Step 4: Simplify right side
    401,953.50x = 700,538,868,324
  5. Step 5: Solve for x
    x = 700,538,868,324/401,953.50
  6. Step 6: Final answer
    x = 1,742,835.60

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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.