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Finding the Third Proportional to 493,311 and 737,985

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Solution

The third proportional to 493,311 and 737,985 is: 1,104,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,311 : 737,985 = 737,985 : x
  2. Step 2: Convert to fraction form
    493,311/737,985 = 737,985/x
  3. Step 3: Cross multiply
    493,311x = 737,985 × 737,985
  4. Step 4: Simplify right side
    493,311x = 544,621,860,225
  5. Step 5: Solve for x
    x = 544,621,860,225/493,311
  6. Step 6: Final answer
    x = 1,104,013.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.