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Finding the Third Proportional to 588,904 and 934,012

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Solution

The third proportional to 588,904 and 934,012 is: 1,481,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,904 : 934,012 = 934,012 : x
  2. Step 2: Convert to fraction form
    588,904/934,012 = 934,012/x
  3. Step 3: Cross multiply
    588,904x = 934,012 × 934,012
  4. Step 4: Simplify right side
    588,904x = 872,378,416,144
  5. Step 5: Solve for x
    x = 872,378,416,144/588,904
  6. Step 6: Final answer
    x = 1,481,359.30

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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.