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Finding the Third Proportional to 401,961 and 837,000

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Solution

The third proportional to 401,961 and 837,000 is: 1,742,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,961 : 837,000 = 837,000 : x
  2. Step 2: Convert to fraction form
    401,961/837,000 = 837,000/x
  3. Step 3: Cross multiply
    401,961x = 837,000 × 837,000
  4. Step 4: Simplify right side
    401,961x = 700,569,000,000
  5. Step 5: Solve for x
    x = 700,569,000,000/401,961
  6. Step 6: Final answer
    x = 1,742,878.04

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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.