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Finding the Third Proportional to 428,883 and 630,847

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Solution

The third proportional to 428,883 and 630,847 is: 927,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,883 : 630,847 = 630,847 : x
  2. Step 2: Convert to fraction form
    428,883/630,847 = 630,847/x
  3. Step 3: Cross multiply
    428,883x = 630,847 × 630,847
  4. Step 4: Simplify right side
    428,883x = 397,967,937,409
  5. Step 5: Solve for x
    x = 397,967,937,409/428,883
  6. Step 6: Final answer
    x = 927,917.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.