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Finding the Third Proportional to 183,030 and 427,599

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Solution

The third proportional to 183,030 and 427,599 is: 998,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,030 : 427,599 = 427,599 : x
  2. Step 2: Convert to fraction form
    183,030/427,599 = 427,599/x
  3. Step 3: Cross multiply
    183,030x = 427,599 × 427,599
  4. Step 4: Simplify right side
    183,030x = 182,840,904,801
  5. Step 5: Solve for x
    x = 182,840,904,801/183,030
  6. Step 6: Final answer
    x = 998,966.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.