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Finding the Third Proportional to 633,270 and 979,307

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Solution

The third proportional to 633,270 and 979,307 is: 1,514,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,270 : 979,307 = 979,307 : x
  2. Step 2: Convert to fraction form
    633,270/979,307 = 979,307/x
  3. Step 3: Cross multiply
    633,270x = 979,307 × 979,307
  4. Step 4: Simplify right side
    633,270x = 959,042,200,249
  5. Step 5: Solve for x
    x = 959,042,200,249/633,270
  6. Step 6: Final answer
    x = 1,514,428.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.