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Finding the Third Proportional to 551,220.75 and 1,296,922.50

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Solution

The third proportional to 551,220.75 and 1,296,922.50 is: 3,051,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,220.75 : 1,296,922.50 = 1,296,922.50 : x
  2. Step 2: Convert to fraction form
    551,220.75/1,296,922.50 = 1,296,922.50/x
  3. Step 3: Cross multiply
    551,220.75x = 1,296,922.50 × 1,296,922.50
  4. Step 4: Simplify right side
    551,220.75x = 1,682,007,971,006.25
  5. Step 5: Solve for x
    x = 1,682,007,971,006.25/551,220.75
  6. Step 6: Final answer
    x = 3,051,423.54

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.