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Finding the Third Proportional to 375,591.94 and 795,878.16

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Solution

The third proportional to 375,591.94 and 795,878.16 is: 1,686,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,591.94 : 795,878.16 = 795,878.16 : x
  2. Step 2: Convert to fraction form
    375,591.94/795,878.16 = 795,878.16/x
  3. Step 3: Cross multiply
    375,591.94x = 795,878.16 × 795,878.16
  4. Step 4: Simplify right side
    375,591.94x = 633,422,039,595.90
  5. Step 5: Solve for x
    x = 633,422,039,595.90/375,591.94
  6. Step 6: Final answer
    x = 1,686,463.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.