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Finding the Third Proportional to 533,252 and 749,982

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Solution

The third proportional to 533,252 and 749,982 is: 1,054,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,252 : 749,982 = 749,982 : x
  2. Step 2: Convert to fraction form
    533,252/749,982 = 749,982/x
  3. Step 3: Cross multiply
    533,252x = 749,982 × 749,982
  4. Step 4: Simplify right side
    533,252x = 562,473,000,324
  5. Step 5: Solve for x
    x = 562,473,000,324/533,252
  6. Step 6: Final answer
    x = 1,054,797.73

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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.