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Finding the Third Proportional to 497,263 and 764,772

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Solution

The third proportional to 497,263 and 764,772 is: 1,176,190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,263 : 764,772 = 764,772 : x
  2. Step 2: Convert to fraction form
    497,263/764,772 = 764,772/x
  3. Step 3: Cross multiply
    497,263x = 764,772 × 764,772
  4. Step 4: Simplify right side
    497,263x = 584,876,211,984
  5. Step 5: Solve for x
    x = 584,876,211,984/497,263
  6. Step 6: Final answer
    x = 1,176,190.89

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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.