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Finding the Third Proportional to 533,247 and 749,974.50

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Solution

The third proportional to 533,247 and 749,974.50 is: 1,054,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,247 : 749,974.50 = 749,974.50 : x
  2. Step 2: Convert to fraction form
    533,247/749,974.50 = 749,974.50/x
  3. Step 3: Cross multiply
    533,247x = 749,974.50 × 749,974.50
  4. Step 4: Simplify right side
    533,247x = 562,461,750,650.25
  5. Step 5: Solve for x
    x = 562,461,750,650.25/533,247
  6. Step 6: Final answer
    x = 1,054,786.53

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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.