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Finding the Third Proportional to 367,053 and 543,757

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Solution

The third proportional to 367,053 and 543,757 is: 805,528.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,053 : 543,757 = 543,757 : x
  2. Step 2: Convert to fraction form
    367,053/543,757 = 543,757/x
  3. Step 3: Cross multiply
    367,053x = 543,757 × 543,757
  4. Step 4: Simplify right side
    367,053x = 295,671,675,049
  5. Step 5: Solve for x
    x = 295,671,675,049/367,053
  6. Step 6: Final answer
    x = 805,528.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.