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Finding the Third Proportional to 370,074.94 and 769,237.88

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Solution

The third proportional to 370,074.94 and 769,237.88 is: 1,598,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,074.94 : 769,237.88 = 769,237.88 : x
  2. Step 2: Convert to fraction form
    370,074.94/769,237.88 = 769,237.88/x
  3. Step 3: Cross multiply
    370,074.94x = 769,237.88 × 769,237.88
  4. Step 4: Simplify right side
    370,074.94x = 591,726,908,334.52
  5. Step 5: Solve for x
    x = 591,726,908,334.52/370,074.94
  6. Step 6: Final answer
    x = 1,598,938.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.