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Finding the Third Proportional to 370,090.69 and 769,262.06

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Solution

The third proportional to 370,090.69 and 769,262.06 is: 1,598,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,090.69 : 769,262.06 = 769,262.06 : x
  2. Step 2: Convert to fraction form
    370,090.69/769,262.06 = 769,262.06/x
  3. Step 3: Cross multiply
    370,090.69x = 769,262.06 × 769,262.06
  4. Step 4: Simplify right side
    370,090.69x = 591,764,120,801.75
  5. Step 5: Solve for x
    x = 591,764,120,801.75/370,090.69
  6. Step 6: Final answer
    x = 1,598,970.58

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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.