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Finding the Third Proportional to 375,998.63 and 865,734.75

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Solution

The third proportional to 375,998.63 and 865,734.75 is: 1,993,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,998.63 : 865,734.75 = 865,734.75 : x
  2. Step 2: Convert to fraction form
    375,998.63/865,734.75 = 865,734.75/x
  3. Step 3: Cross multiply
    375,998.63x = 865,734.75 × 865,734.75
  4. Step 4: Simplify right side
    375,998.63x = 749,496,657,357.56
  5. Step 5: Solve for x
    x = 749,496,657,357.56/375,998.63
  6. Step 6: Final answer
    x = 1,993,349.46

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.