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Finding the Third Proportional to 827,050.50 and 1,276,843.50

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Solution

The third proportional to 827,050.50 and 1,276,843.50 is: 1,971,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,050.50 : 1,276,843.50 = 1,276,843.50 : x
  2. Step 2: Convert to fraction form
    827,050.50/1,276,843.50 = 1,276,843.50/x
  3. Step 3: Cross multiply
    827,050.50x = 1,276,843.50 × 1,276,843.50
  4. Step 4: Simplify right side
    827,050.50x = 1,630,329,323,492.25
  5. Step 5: Solve for x
    x = 1,630,329,323,492.25/827,050.50
  6. Step 6: Final answer
    x = 1,971,257.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.