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Finding the Third Proportional to 509,950.50 and 1,109,977.31

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Solution

The third proportional to 509,950.50 and 1,109,977.31 is: 2,416,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,950.50 : 1,109,977.31 = 1,109,977.31 : x
  2. Step 2: Convert to fraction form
    509,950.50/1,109,977.31 = 1,109,977.31/x
  3. Step 3: Cross multiply
    509,950.50x = 1,109,977.31 × 1,109,977.31
  4. Step 4: Simplify right side
    509,950.50x = 1,232,049,634,264.72
  5. Step 5: Solve for x
    x = 1,232,049,634,264.72/509,950.50
  6. Step 6: Final answer
    x = 2,416,018.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.