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Finding the Third Proportional to 359,874 and 764,028

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Solution

The third proportional to 359,874 and 764,028 is: 1,622,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,874 : 764,028 = 764,028 : x
  2. Step 2: Convert to fraction form
    359,874/764,028 = 764,028/x
  3. Step 3: Cross multiply
    359,874x = 764,028 × 764,028
  4. Step 4: Simplify right side
    359,874x = 583,738,784,784
  5. Step 5: Solve for x
    x = 583,738,784,784/359,874
  6. Step 6: Final answer
    x = 1,622,064.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.