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Finding the Third Proportional to 458,172 and 700,866

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Solution

The third proportional to 458,172 and 700,866 is: 1,072,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,172 : 700,866 = 700,866 : x
  2. Step 2: Convert to fraction form
    458,172/700,866 = 700,866/x
  3. Step 3: Cross multiply
    458,172x = 700,866 × 700,866
  4. Step 4: Simplify right side
    458,172x = 491,213,149,956
  5. Step 5: Solve for x
    x = 491,213,149,956/458,172
  6. Step 6: Final answer
    x = 1,072,115.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.