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Finding the Third Proportional to 442,712.25 and 948,442.50

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Solution

The third proportional to 442,712.25 and 948,442.50 is: 2,031,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,712.25 : 948,442.50 = 948,442.50 : x
  2. Step 2: Convert to fraction form
    442,712.25/948,442.50 = 948,442.50/x
  3. Step 3: Cross multiply
    442,712.25x = 948,442.50 × 948,442.50
  4. Step 4: Simplify right side
    442,712.25x = 899,543,175,806.25
  5. Step 5: Solve for x
    x = 899,543,175,806.25/442,712.25
  6. Step 6: Final answer
    x = 2,031,891.31

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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.