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Finding the Third Proportional to 375,568.50 and 795,835.50

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Solution

The third proportional to 375,568.50 and 795,835.50 is: 1,686,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,568.50 : 795,835.50 = 795,835.50 : x
  2. Step 2: Convert to fraction form
    375,568.50/795,835.50 = 795,835.50/x
  3. Step 3: Cross multiply
    375,568.50x = 795,835.50 × 795,835.50
  4. Step 4: Simplify right side
    375,568.50x = 633,354,143,060.25
  5. Step 5: Solve for x
    x = 633,354,143,060.25/375,568.50
  6. Step 6: Final answer
    x = 1,686,387.82

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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.