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Finding the Third Proportional to 406,952 and 630,876

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Solution

The third proportional to 406,952 and 630,876 is: 978,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,952 : 630,876 = 630,876 : x
  2. Step 2: Convert to fraction form
    406,952/630,876 = 630,876/x
  3. Step 3: Cross multiply
    406,952x = 630,876 × 630,876
  4. Step 4: Simplify right side
    406,952x = 398,004,527,376
  5. Step 5: Solve for x
    x = 398,004,527,376/406,952
  6. Step 6: Final answer
    x = 978,013.44

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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.