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Finding the Third Proportional to 401,149.69 and 881,029.69

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Solution

The third proportional to 401,149.69 and 881,029.69 is: 1,934,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,149.69 : 881,029.69 = 881,029.69 : x
  2. Step 2: Convert to fraction form
    401,149.69/881,029.69 = 881,029.69/x
  3. Step 3: Cross multiply
    401,149.69x = 881,029.69 × 881,029.69
  4. Step 4: Simplify right side
    401,149.69x = 776,213,310,256.35
  5. Step 5: Solve for x
    x = 776,213,310,256.35/401,149.69
  6. Step 6: Final answer
    x = 1,934,971.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.