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Finding the Third Proportional to 496,681.88 and 764,399.53

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Solution

The third proportional to 496,681.88 and 764,399.53 is: 1,176,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,681.88 : 764,399.53 = 764,399.53 : x
  2. Step 2: Convert to fraction form
    496,681.88/764,399.53 = 764,399.53/x
  3. Step 3: Cross multiply
    496,681.88x = 764,399.53 × 764,399.53
  4. Step 4: Simplify right side
    496,681.88x = 584,306,643,375.22
  5. Step 5: Solve for x
    x = 584,306,643,375.22/496,681.88
  6. Step 6: Final answer
    x = 1,176,420.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.