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Finding the Third Proportional to 350,979 and 543,006

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Solution

The third proportional to 350,979 and 543,006 is: 840,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,979 : 543,006 = 543,006 : x
  2. Step 2: Convert to fraction form
    350,979/543,006 = 543,006/x
  3. Step 3: Cross multiply
    350,979x = 543,006 × 543,006
  4. Step 4: Simplify right side
    350,979x = 294,855,516,036
  5. Step 5: Solve for x
    x = 294,855,516,036/350,979
  6. Step 6: Final answer
    x = 840,094.47

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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.