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Finding the Third Proportional to 349,014 and 533,671.50

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Solution

The third proportional to 349,014 and 533,671.50 is: 816,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,014 : 533,671.50 = 533,671.50 : x
  2. Step 2: Convert to fraction form
    349,014/533,671.50 = 533,671.50/x
  3. Step 3: Cross multiply
    349,014x = 533,671.50 × 533,671.50
  4. Step 4: Simplify right side
    349,014x = 284,805,269,912.25
  5. Step 5: Solve for x
    x = 284,805,269,912.25/349,014
  6. Step 6: Final answer
    x = 816,028.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.