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Finding the Third Proportional to 375,589.41 and 795,871.69

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Solution

The third proportional to 375,589.41 and 795,871.69 is: 1,686,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,589.41 : 795,871.69 = 795,871.69 : x
  2. Step 2: Convert to fraction form
    375,589.41/795,871.69 = 795,871.69/x
  3. Step 3: Cross multiply
    375,589.41x = 795,871.69 × 795,871.69
  4. Step 4: Simplify right side
    375,589.41x = 633,411,742,964.10
  5. Step 5: Solve for x
    x = 633,411,742,964.10/375,589.41
  6. Step 6: Final answer
    x = 1,686,447.31

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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.