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Finding the Third Proportional to 442,141.25 and 947,372.25

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Solution

The third proportional to 442,141.25 and 947,372.25 is: 2,029,926.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,141.25 : 947,372.25 = 947,372.25 : x
  2. Step 2: Convert to fraction form
    442,141.25/947,372.25 = 947,372.25/x
  3. Step 3: Cross multiply
    442,141.25x = 947,372.25 × 947,372.25
  4. Step 4: Simplify right side
    442,141.25x = 897,514,180,070.06
  5. Step 5: Solve for x
    x = 897,514,180,070.06/442,141.25
  6. Step 6: Final answer
    x = 2,029,926.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.