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Finding the Third Proportional to 487,086 and 764,283

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Solution

The third proportional to 487,086 and 764,283 is: 1,199,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,086 : 764,283 = 764,283 : x
  2. Step 2: Convert to fraction form
    487,086/764,283 = 764,283/x
  3. Step 3: Cross multiply
    487,086x = 764,283 × 764,283
  4. Step 4: Simplify right side
    487,086x = 584,128,504,089
  5. Step 5: Solve for x
    x = 584,128,504,089/487,086
  6. Step 6: Final answer
    x = 1,199,230.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.