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Finding the Third Proportional to 493,319 and 737,995

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Solution

The third proportional to 493,319 and 737,995 is: 1,104,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,319 : 737,995 = 737,995 : x
  2. Step 2: Convert to fraction form
    493,319/737,995 = 737,995/x
  3. Step 3: Cross multiply
    493,319x = 737,995 × 737,995
  4. Step 4: Simplify right side
    493,319x = 544,636,620,025
  5. Step 5: Solve for x
    x = 544,636,620,025/493,319
  6. Step 6: Final answer
    x = 1,104,025.23

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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.