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Finding the Third Proportional to 629,363 and 967,935

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Solution

The third proportional to 629,363 and 967,935 is: 1,488,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,363 : 967,935 = 967,935 : x
  2. Step 2: Convert to fraction form
    629,363/967,935 = 967,935/x
  3. Step 3: Cross multiply
    629,363x = 967,935 × 967,935
  4. Step 4: Simplify right side
    629,363x = 936,898,164,225
  5. Step 5: Solve for x
    x = 936,898,164,225/629,363
  6. Step 6: Final answer
    x = 1,488,645.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.