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Finding the Third Proportional to 588,900 and 934,006

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Solution

The third proportional to 588,900 and 934,006 is: 1,481,350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,900 : 934,006 = 934,006 : x
  2. Step 2: Convert to fraction form
    588,900/934,006 = 934,006/x
  3. Step 3: Cross multiply
    588,900x = 934,006 × 934,006
  4. Step 4: Simplify right side
    588,900x = 872,367,208,036
  5. Step 5: Solve for x
    x = 872,367,208,036/588,900
  6. Step 6: Final answer
    x = 1,481,350.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.