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Finding the Third Proportional to 296,779.50 and 699,882.75

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Solution

The third proportional to 296,779.50 and 699,882.75 is: 1,650,504.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,779.50 : 699,882.75 = 699,882.75 : x
  2. Step 2: Convert to fraction form
    296,779.50/699,882.75 = 699,882.75/x
  3. Step 3: Cross multiply
    296,779.50x = 699,882.75 × 699,882.75
  4. Step 4: Simplify right side
    296,779.50x = 489,835,863,747.56
  5. Step 5: Solve for x
    x = 489,835,863,747.56/296,779.50
  6. Step 6: Final answer
    x = 1,650,504.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.