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Finding the Third Proportional to 252,544 and 544,448

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Solution

The third proportional to 252,544 and 544,448 is: 1,173,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,544 : 544,448 = 544,448 : x
  2. Step 2: Convert to fraction form
    252,544/544,448 = 544,448/x
  3. Step 3: Cross multiply
    252,544x = 544,448 × 544,448
  4. Step 4: Simplify right side
    252,544x = 296,423,624,704
  5. Step 5: Solve for x
    x = 296,423,624,704/252,544
  6. Step 6: Final answer
    x = 1,173,750.41

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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.