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Finding the Third Proportional to 510,225.75 and 1,099,176.75

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Solution

The third proportional to 510,225.75 and 1,099,176.75 is: 2,367,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,225.75 : 1,099,176.75 = 1,099,176.75 : x
  2. Step 2: Convert to fraction form
    510,225.75/1,099,176.75 = 1,099,176.75/x
  3. Step 3: Cross multiply
    510,225.75x = 1,099,176.75 × 1,099,176.75
  4. Step 4: Simplify right side
    510,225.75x = 1,208,189,527,740.56
  5. Step 5: Solve for x
    x = 1,208,189,527,740.56/510,225.75
  6. Step 6: Final answer
    x = 2,367,950.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.