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Finding the Third Proportional to 533,238 and 749,961

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Solution

The third proportional to 533,238 and 749,961 is: 1,054,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,238 : 749,961 = 749,961 : x
  2. Step 2: Convert to fraction form
    533,238/749,961 = 749,961/x
  3. Step 3: Cross multiply
    533,238x = 749,961 × 749,961
  4. Step 4: Simplify right side
    533,238x = 562,441,501,521
  5. Step 5: Solve for x
    x = 562,441,501,521/533,238
  6. Step 6: Final answer
    x = 1,054,766.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.