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Finding the Third Proportional to 487,096 and 764,298

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Solution

The third proportional to 487,096 and 764,298 is: 1,199,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,096 : 764,298 = 764,298 : x
  2. Step 2: Convert to fraction form
    487,096/764,298 = 764,298/x
  3. Step 3: Cross multiply
    487,096x = 764,298 × 764,298
  4. Step 4: Simplify right side
    487,096x = 584,151,432,804
  5. Step 5: Solve for x
    x = 584,151,432,804/487,096
  6. Step 6: Final answer
    x = 1,199,253.19

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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.