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Finding the Third Proportional to 183,815 and 404,877

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Solution

The third proportional to 183,815 and 404,877 is: 891,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,815 : 404,877 = 404,877 : x
  2. Step 2: Convert to fraction form
    183,815/404,877 = 404,877/x
  3. Step 3: Cross multiply
    183,815x = 404,877 × 404,877
  4. Step 4: Simplify right side
    183,815x = 163,925,385,129
  5. Step 5: Solve for x
    x = 163,925,385,129/183,815
  6. Step 6: Final answer
    x = 891,795.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.