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Finding the Third Proportional to 212,056 and 324,877

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Solution

The third proportional to 212,056 and 324,877 is: 497,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,056 : 324,877 = 324,877 : x
  2. Step 2: Convert to fraction form
    212,056/324,877 = 324,877/x
  3. Step 3: Cross multiply
    212,056x = 324,877 × 324,877
  4. Step 4: Simplify right side
    212,056x = 105,545,065,129
  5. Step 5: Solve for x
    x = 105,545,065,129/212,056
  6. Step 6: Final answer
    x = 497,722.61

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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.