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Finding the Third Proportional to 367,052 and 564,357

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Solution

The third proportional to 367,052 and 564,357 is: 867,721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,052 : 564,357 = 564,357 : x
  2. Step 2: Convert to fraction form
    367,052/564,357 = 564,357/x
  3. Step 3: Cross multiply
    367,052x = 564,357 × 564,357
  4. Step 4: Simplify right side
    367,052x = 318,498,823,449
  5. Step 5: Solve for x
    x = 318,498,823,449/367,052
  6. Step 6: Final answer
    x = 867,721.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.