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Finding the Third Proportional to 254,351 and 537,052

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Solution

The third proportional to 254,351 and 537,052 is: 1,133,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,351 : 537,052 = 537,052 : x
  2. Step 2: Convert to fraction form
    254,351/537,052 = 537,052/x
  3. Step 3: Cross multiply
    254,351x = 537,052 × 537,052
  4. Step 4: Simplify right side
    254,351x = 288,424,850,704
  5. Step 5: Solve for x
    x = 288,424,850,704/254,351
  6. Step 6: Final answer
    x = 1,133,963.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.