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Finding the Third Proportional to 533,772.28 and 1,151,630.16

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Solution

The third proportional to 533,772.28 and 1,151,630.16 is: 2,484,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,772.28 : 1,151,630.16 = 1,151,630.16 : x
  2. Step 2: Convert to fraction form
    533,772.28/1,151,630.16 = 1,151,630.16/x
  3. Step 3: Cross multiply
    533,772.28x = 1,151,630.16 × 1,151,630.16
  4. Step 4: Simplify right side
    533,772.28x = 1,326,252,016,784.40
  5. Step 5: Solve for x
    x = 1,326,252,016,784.40/533,772.28
  6. Step 6: Final answer
    x = 2,484,677.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.