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Finding the Third Proportional to 349,056 and 536,832

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Solution

The third proportional to 349,056 and 536,832 is: 825,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,056 : 536,832 = 536,832 : x
  2. Step 2: Convert to fraction form
    349,056/536,832 = 536,832/x
  3. Step 3: Cross multiply
    349,056x = 536,832 × 536,832
  4. Step 4: Simplify right side
    349,056x = 288,188,596,224
  5. Step 5: Solve for x
    x = 288,188,596,224/349,056
  6. Step 6: Final answer
    x = 825,622.81

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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.