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Finding the Third Proportional to 497,313 and 764,847

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Solution

The third proportional to 497,313 and 764,847 is: 1,176,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,313 : 764,847 = 764,847 : x
  2. Step 2: Convert to fraction form
    497,313/764,847 = 764,847/x
  3. Step 3: Cross multiply
    497,313x = 764,847 × 764,847
  4. Step 4: Simplify right side
    497,313x = 584,990,933,409
  5. Step 5: Solve for x
    x = 584,990,933,409/497,313
  6. Step 6: Final answer
    x = 1,176,303.32

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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.