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Finding the Third Proportional to 469,118.50 and 1,024,272.50

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Solution

The third proportional to 469,118.50 and 1,024,272.50 is: 2,236,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,118.50 : 1,024,272.50 = 1,024,272.50 : x
  2. Step 2: Convert to fraction form
    469,118.50/1,024,272.50 = 1,024,272.50/x
  3. Step 3: Cross multiply
    469,118.50x = 1,024,272.50 × 1,024,272.50
  4. Step 4: Simplify right side
    469,118.50x = 1,049,134,154,256.25
  5. Step 5: Solve for x
    x = 1,049,134,154,256.25/469,118.50
  6. Step 6: Final answer
    x = 2,236,394.76

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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.