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Finding the Third Proportional to 309,108 and 645,000

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Solution

The third proportional to 309,108 and 645,000 is: 1,345,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,108 : 645,000 = 645,000 : x
  2. Step 2: Convert to fraction form
    309,108/645,000 = 645,000/x
  3. Step 3: Cross multiply
    309,108x = 645,000 × 645,000
  4. Step 4: Simplify right side
    309,108x = 416,025,000,000
  5. Step 5: Solve for x
    x = 416,025,000,000/309,108
  6. Step 6: Final answer
    x = 1,345,888.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.