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Finding the Third Proportional to 541,226.25 and 824,598

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Solution

The third proportional to 541,226.25 and 824,598 is: 1,256,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,226.25 : 824,598 = 824,598 : x
  2. Step 2: Convert to fraction form
    541,226.25/824,598 = 824,598/x
  3. Step 3: Cross multiply
    541,226.25x = 824,598 × 824,598
  4. Step 4: Simplify right side
    541,226.25x = 679,961,861,604
  5. Step 5: Solve for x
    x = 679,961,861,604/541,226.25
  6. Step 6: Final answer
    x = 1,256,335.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.