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Finding the Third Proportional to 784,502.50 and 1,212,255.50

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Solution

The third proportional to 784,502.50 and 1,212,255.50 is: 1,873,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,502.50 : 1,212,255.50 = 1,212,255.50 : x
  2. Step 2: Convert to fraction form
    784,502.50/1,212,255.50 = 1,212,255.50/x
  3. Step 3: Cross multiply
    784,502.50x = 1,212,255.50 × 1,212,255.50
  4. Step 4: Simplify right side
    784,502.50x = 1,469,563,397,280.25
  5. Step 5: Solve for x
    x = 1,469,563,397,280.25/784,502.50
  6. Step 6: Final answer
    x = 1,873,242.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.