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Finding the Third Proportional to 310,884 and 645,138

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Solution

The third proportional to 310,884 and 645,138 is: 1,338,772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,884 : 645,138 = 645,138 : x
  2. Step 2: Convert to fraction form
    310,884/645,138 = 645,138/x
  3. Step 3: Cross multiply
    310,884x = 645,138 × 645,138
  4. Step 4: Simplify right side
    310,884x = 416,203,039,044
  5. Step 5: Solve for x
    x = 416,203,039,044/310,884
  6. Step 6: Final answer
    x = 1,338,772.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.