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Finding the Third Proportional to 407,877.75 and 874,774.13

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Solution

The third proportional to 407,877.75 and 874,774.13 is: 1,876,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,877.75 : 874,774.13 = 874,774.13 : x
  2. Step 2: Convert to fraction form
    407,877.75/874,774.13 = 874,774.13/x
  3. Step 3: Cross multiply
    407,877.75x = 874,774.13 × 874,774.13
  4. Step 4: Simplify right side
    407,877.75x = 765,229,769,769.52
  5. Step 5: Solve for x
    x = 765,229,769,769.52/407,877.75
  6. Step 6: Final answer
    x = 1,876,125.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.