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Finding the Third Proportional to 405,820 and 630,834

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Solution

The third proportional to 405,820 and 630,834 is: 980,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,820 : 630,834 = 630,834 : x
  2. Step 2: Convert to fraction form
    405,820/630,834 = 630,834/x
  3. Step 3: Cross multiply
    405,820x = 630,834 × 630,834
  4. Step 4: Simplify right side
    405,820x = 397,951,535,556
  5. Step 5: Solve for x
    x = 397,951,535,556/405,820
  6. Step 6: Final answer
    x = 980,610.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.