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Finding the Third Proportional to 405,836 and 630,858

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Solution

The third proportional to 405,836 and 630,858 is: 980,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,836 : 630,858 = 630,858 : x
  2. Step 2: Convert to fraction form
    405,836/630,858 = 630,858/x
  3. Step 3: Cross multiply
    405,836x = 630,858 × 630,858
  4. Step 4: Simplify right side
    405,836x = 397,981,816,164
  5. Step 5: Solve for x
    x = 397,981,816,164/405,836
  6. Step 6: Final answer
    x = 980,646.90

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Why These Related Problems?

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