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Finding the Third Proportional to 339,225.75 and 524,779.50

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Solution

The third proportional to 339,225.75 and 524,779.50 is: 811,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,225.75 : 524,779.50 = 524,779.50 : x
  2. Step 2: Convert to fraction form
    339,225.75/524,779.50 = 524,779.50/x
  3. Step 3: Cross multiply
    339,225.75x = 524,779.50 × 524,779.50
  4. Step 4: Simplify right side
    339,225.75x = 275,393,523,620.25
  5. Step 5: Solve for x
    x = 275,393,523,620.25/339,225.75
  6. Step 6: Final answer
    x = 811,829.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.