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Finding the Third Proportional to 769,323 and 1,194,313.50

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Solution

The third proportional to 769,323 and 1,194,313.50 is: 1,854,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,323 : 1,194,313.50 = 1,194,313.50 : x
  2. Step 2: Convert to fraction form
    769,323/1,194,313.50 = 1,194,313.50/x
  3. Step 3: Cross multiply
    769,323x = 1,194,313.50 × 1,194,313.50
  4. Step 4: Simplify right side
    769,323x = 1,426,384,736,282.25
  5. Step 5: Solve for x
    x = 1,426,384,736,282.25/769,323
  6. Step 6: Final answer
    x = 1,854,077.85

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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.