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Finding the Third Proportional to 297,854 and 580,664

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Solution

The third proportional to 297,854 and 580,664 is: 1,131,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,854 : 580,664 = 580,664 : x
  2. Step 2: Convert to fraction form
    297,854/580,664 = 580,664/x
  3. Step 3: Cross multiply
    297,854x = 580,664 × 580,664
  4. Step 4: Simplify right side
    297,854x = 337,170,680,896
  5. Step 5: Solve for x
    x = 337,170,680,896/297,854
  6. Step 6: Final answer
    x = 1,131,999.84

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.