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Finding the Third Proportional to 633,714 and 1,311,716.50

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Solution

The third proportional to 633,714 and 1,311,716.50 is: 2,715,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,714 : 1,311,716.50 = 1,311,716.50 : x
  2. Step 2: Convert to fraction form
    633,714/1,311,716.50 = 1,311,716.50/x
  3. Step 3: Cross multiply
    633,714x = 1,311,716.50 × 1,311,716.50
  4. Step 4: Simplify right side
    633,714x = 1,720,600,176,372.25
  5. Step 5: Solve for x
    x = 1,720,600,176,372.25/633,714
  6. Step 6: Final answer
    x = 2,715,105.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.