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Finding the Third Proportional to 405,838 and 630,861

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Solution

The third proportional to 405,838 and 630,861 is: 980,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,838 : 630,861 = 630,861 : x
  2. Step 2: Convert to fraction form
    405,838/630,861 = 630,861/x
  3. Step 3: Cross multiply
    405,838x = 630,861 × 630,861
  4. Step 4: Simplify right side
    405,838x = 397,985,601,321
  5. Step 5: Solve for x
    x = 397,985,601,321/405,838
  6. Step 6: Final answer
    x = 980,651.40

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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.