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Finding the Third Proportional to 597,272.50 and 1,299,520.75

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Solution

The third proportional to 597,272.50 and 1,299,520.75 is: 2,827,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,272.50 : 1,299,520.75 = 1,299,520.75 : x
  2. Step 2: Convert to fraction form
    597,272.50/1,299,520.75 = 1,299,520.75/x
  3. Step 3: Cross multiply
    597,272.50x = 1,299,520.75 × 1,299,520.75
  4. Step 4: Simplify right side
    597,272.50x = 1,688,754,179,680.56
  5. Step 5: Solve for x
    x = 1,688,754,179,680.56/597,272.50
  6. Step 6: Final answer
    x = 2,827,443.39

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Why These Related Problems?

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