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Finding the Third Proportional to 404,841.50 and 871,961.50

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Solution

The third proportional to 404,841.50 and 871,961.50 is: 1,878,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,841.50 : 871,961.50 = 871,961.50 : x
  2. Step 2: Convert to fraction form
    404,841.50/871,961.50 = 871,961.50/x
  3. Step 3: Cross multiply
    404,841.50x = 871,961.50 × 871,961.50
  4. Step 4: Simplify right side
    404,841.50x = 760,316,857,482.25
  5. Step 5: Solve for x
    x = 760,316,857,482.25/404,841.50
  6. Step 6: Final answer
    x = 1,878,060.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.