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Finding the Third Proportional to 297,827 and 642,307

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Solution

The third proportional to 297,827 and 642,307 is: 1,385,227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,827 : 642,307 = 642,307 : x
  2. Step 2: Convert to fraction form
    297,827/642,307 = 642,307/x
  3. Step 3: Cross multiply
    297,827x = 642,307 × 642,307
  4. Step 4: Simplify right side
    297,827x = 412,558,282,249
  5. Step 5: Solve for x
    x = 412,558,282,249/297,827
  6. Step 6: Final answer
    x = 1,385,227.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.