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Finding the Third Proportional to 442,308.52 and 967,410.84

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Solution

The third proportional to 442,308.52 and 967,410.84 is: 2,115,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,308.52 : 967,410.84 = 967,410.84 : x
  2. Step 2: Convert to fraction form
    442,308.52/967,410.84 = 967,410.84/x
  3. Step 3: Cross multiply
    442,308.52x = 967,410.84 × 967,410.84
  4. Step 4: Simplify right side
    442,308.52x = 935,883,740,605.09
  5. Step 5: Solve for x
    x = 935,883,740,605.09/442,308.52
  6. Step 6: Final answer
    x = 2,115,907.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.