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Finding the Third Proportional to 533,286.28 and 1,152,275.63

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Solution

The third proportional to 533,286.28 and 1,152,275.63 is: 2,489,730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,286.28 : 1,152,275.63 = 1,152,275.63 : x
  2. Step 2: Convert to fraction form
    533,286.28/1,152,275.63 = 1,152,275.63/x
  3. Step 3: Cross multiply
    533,286.28x = 1,152,275.63 × 1,152,275.63
  4. Step 4: Simplify right side
    533,286.28x = 1,327,739,115,969.14
  5. Step 5: Solve for x
    x = 1,327,739,115,969.14/533,286.28
  6. Step 6: Final answer
    x = 2,489,730.49

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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.