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Finding the Third Proportional to 367,052 and 567,306

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Solution

The third proportional to 367,052 and 567,306 is: 876,813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,052 : 567,306 = 567,306 : x
  2. Step 2: Convert to fraction form
    367,052/567,306 = 567,306/x
  3. Step 3: Cross multiply
    367,052x = 567,306 × 567,306
  4. Step 4: Simplify right side
    367,052x = 321,836,097,636
  5. Step 5: Solve for x
    x = 321,836,097,636/367,052
  6. Step 6: Final answer
    x = 876,813.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.