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Finding the Third Proportional to 631,698.75 and 1,381,495.50

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Solution

The third proportional to 631,698.75 and 1,381,495.50 is: 3,021,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,698.75 : 1,381,495.50 = 1,381,495.50 : x
  2. Step 2: Convert to fraction form
    631,698.75/1,381,495.50 = 1,381,495.50/x
  3. Step 3: Cross multiply
    631,698.75x = 1,381,495.50 × 1,381,495.50
  4. Step 4: Simplify right side
    631,698.75x = 1,908,529,816,520.25
  5. Step 5: Solve for x
    x = 1,908,529,816,520.25/631,698.75
  6. Step 6: Final answer
    x = 3,021,265.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.