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Finding the Third Proportional to 501,966.56 and 764,712.56

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Solution

The third proportional to 501,966.56 and 764,712.56 is: 1,164,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,966.56 : 764,712.56 = 764,712.56 : x
  2. Step 2: Convert to fraction form
    501,966.56/764,712.56 = 764,712.56/x
  3. Step 3: Cross multiply
    501,966.56x = 764,712.56 × 764,712.56
  4. Step 4: Simplify right side
    501,966.56x = 584,785,303,245.32
  5. Step 5: Solve for x
    x = 584,785,303,245.32/501,966.56
  6. Step 6: Final answer
    x = 1,164,988.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.