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Finding the Third Proportional to 260,779.50 and 603,708.19

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Solution

The third proportional to 260,779.50 and 603,708.19 is: 1,397,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,779.50 : 603,708.19 = 603,708.19 : x
  2. Step 2: Convert to fraction form
    260,779.50/603,708.19 = 603,708.19/x
  3. Step 3: Cross multiply
    260,779.50x = 603,708.19 × 603,708.19
  4. Step 4: Simplify right side
    260,779.50x = 364,463,575,654.54
  5. Step 5: Solve for x
    x = 364,463,575,654.54/260,779.50
  6. Step 6: Final answer
    x = 1,397,592.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.