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Finding the Third Proportional to 300,870 and 640,728

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Solution

The third proportional to 300,870 and 640,728 is: 1,364,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,870 : 640,728 = 640,728 : x
  2. Step 2: Convert to fraction form
    300,870/640,728 = 640,728/x
  3. Step 3: Cross multiply
    300,870x = 640,728 × 640,728
  4. Step 4: Simplify right side
    300,870x = 410,532,369,984
  5. Step 5: Solve for x
    x = 410,532,369,984/300,870
  6. Step 6: Final answer
    x = 1,364,484.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.