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Finding the Third Proportional to 428,874 and 630,834

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Solution

The third proportional to 428,874 and 630,834 is: 927,898.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,874 : 630,834 = 630,834 : x
  2. Step 2: Convert to fraction form
    428,874/630,834 = 630,834/x
  3. Step 3: Cross multiply
    428,874x = 630,834 × 630,834
  4. Step 4: Simplify right side
    428,874x = 397,951,535,556
  5. Step 5: Solve for x
    x = 397,951,535,556/428,874
  6. Step 6: Final answer
    x = 927,898.49

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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.