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Finding the Third Proportional to 406,948 and 630,870

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Solution

The third proportional to 406,948 and 630,870 is: 978,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,948 : 630,870 = 630,870 : x
  2. Step 2: Convert to fraction form
    406,948/630,870 = 630,870/x
  3. Step 3: Cross multiply
    406,948x = 630,870 × 630,870
  4. Step 4: Simplify right side
    406,948x = 397,996,956,900
  5. Step 5: Solve for x
    x = 397,996,956,900/406,948
  6. Step 6: Final answer
    x = 978,004.45

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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.