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Finding the Third Proportional to 210,877 and 454,970

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Solution

The third proportional to 210,877 and 454,970 is: 981,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,877 : 454,970 = 454,970 : x
  2. Step 2: Convert to fraction form
    210,877/454,970 = 454,970/x
  3. Step 3: Cross multiply
    210,877x = 454,970 × 454,970
  4. Step 4: Simplify right side
    210,877x = 206,997,700,900
  5. Step 5: Solve for x
    x = 206,997,700,900/210,877
  6. Step 6: Final answer
    x = 981,603.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.