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Finding the Third Proportional to 253,854 and 551,448

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Solution

The third proportional to 253,854 and 551,448 is: 1,197,912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,854 : 551,448 = 551,448 : x
  2. Step 2: Convert to fraction form
    253,854/551,448 = 551,448/x
  3. Step 3: Cross multiply
    253,854x = 551,448 × 551,448
  4. Step 4: Simplify right side
    253,854x = 304,094,896,704
  5. Step 5: Solve for x
    x = 304,094,896,704/253,854
  6. Step 6: Final answer
    x = 1,197,912.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.