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Finding the Third Proportional to 525,766.50 and 787,779

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Solution

The third proportional to 525,766.50 and 787,779 is: 1,180,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,766.50 : 787,779 = 787,779 : x
  2. Step 2: Convert to fraction form
    525,766.50/787,779 = 787,779/x
  3. Step 3: Cross multiply
    525,766.50x = 787,779 × 787,779
  4. Step 4: Simplify right side
    525,766.50x = 620,595,752,841
  5. Step 5: Solve for x
    x = 620,595,752,841/525,766.50
  6. Step 6: Final answer
    x = 1,180,363.82

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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.