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Finding the Third Proportional to 197,927 and 423,877

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Solution

The third proportional to 197,927 and 423,877 is: 907,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,927 : 423,877 = 423,877 : x
  2. Step 2: Convert to fraction form
    197,927/423,877 = 423,877/x
  3. Step 3: Cross multiply
    197,927x = 423,877 × 423,877
  4. Step 4: Simplify right side
    197,927x = 179,671,711,129
  5. Step 5: Solve for x
    x = 179,671,711,129/197,927
  6. Step 6: Final answer
    x = 907,767.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.