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Finding the Third Proportional to 406,324 and 630,027

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Solution

The third proportional to 406,324 and 630,027 is: 976,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,324 : 630,027 = 630,027 : x
  2. Step 2: Convert to fraction form
    406,324/630,027 = 630,027/x
  3. Step 3: Cross multiply
    406,324x = 630,027 × 630,027
  4. Step 4: Simplify right side
    406,324x = 396,934,020,729
  5. Step 5: Solve for x
    x = 396,934,020,729/406,324
  6. Step 6: Final answer
    x = 976,890.41

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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.