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Finding the Third Proportional to 608,731 and 946,252

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Solution

The third proportional to 608,731 and 946,252 is: 1,470,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,731 : 946,252 = 946,252 : x
  2. Step 2: Convert to fraction form
    608,731/946,252 = 946,252/x
  3. Step 3: Cross multiply
    608,731x = 946,252 × 946,252
  4. Step 4: Simplify right side
    608,731x = 895,392,847,504
  5. Step 5: Solve for x
    x = 895,392,847,504/608,731
  6. Step 6: Final answer
    x = 1,470,917.12

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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.