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Finding the Third Proportional to 533,250 and 749,979

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Solution

The third proportional to 533,250 and 749,979 is: 1,054,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,250 : 749,979 = 749,979 : x
  2. Step 2: Convert to fraction form
    533,250/749,979 = 749,979/x
  3. Step 3: Cross multiply
    533,250x = 749,979 × 749,979
  4. Step 4: Simplify right side
    533,250x = 562,468,500,441
  5. Step 5: Solve for x
    x = 562,468,500,441/533,250
  6. Step 6: Final answer
    x = 1,054,793.25

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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.