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Finding the Third Proportional to 551,102.50 and 843,015.50

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Solution

The third proportional to 551,102.50 and 843,015.50 is: 1,289,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,102.50 : 843,015.50 = 843,015.50 : x
  2. Step 2: Convert to fraction form
    551,102.50/843,015.50 = 843,015.50/x
  3. Step 3: Cross multiply
    551,102.50x = 843,015.50 × 843,015.50
  4. Step 4: Simplify right side
    551,102.50x = 710,675,133,240.25
  5. Step 5: Solve for x
    x = 710,675,133,240.25/551,102.50
  6. Step 6: Final answer
    x = 1,289,551.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.