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Finding the Third Proportional to 462,147 and 618,156

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Solution

The third proportional to 462,147 and 618,156 is: 826,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,147 : 618,156 = 618,156 : x
  2. Step 2: Convert to fraction form
    462,147/618,156 = 618,156/x
  3. Step 3: Cross multiply
    462,147x = 618,156 × 618,156
  4. Step 4: Simplify right side
    462,147x = 382,116,840,336
  5. Step 5: Solve for x
    x = 382,116,840,336/462,147
  6. Step 6: Final answer
    x = 826,829.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.