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Finding the Third Proportional to 428,542 and 914,037.50

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Solution

The third proportional to 428,542 and 914,037.50 is: 1,949,551.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,542 : 914,037.50 = 914,037.50 : x
  2. Step 2: Convert to fraction form
    428,542/914,037.50 = 914,037.50/x
  3. Step 3: Cross multiply
    428,542x = 914,037.50 × 914,037.50
  4. Step 4: Simplify right side
    428,542x = 835,464,551,406.25
  5. Step 5: Solve for x
    x = 835,464,551,406.25/428,542
  6. Step 6: Final answer
    x = 1,949,551.16

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.