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Finding the Third Proportional to 210,683 and 446,152

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Solution

The third proportional to 210,683 and 446,152 is: 944,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,683 : 446,152 = 446,152 : x
  2. Step 2: Convert to fraction form
    210,683/446,152 = 446,152/x
  3. Step 3: Cross multiply
    210,683x = 446,152 × 446,152
  4. Step 4: Simplify right side
    210,683x = 199,051,607,104
  5. Step 5: Solve for x
    x = 199,051,607,104/210,683
  6. Step 6: Final answer
    x = 944,791.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.