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Finding the Third Proportional to 355,183 and 760,910

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Solution

The third proportional to 355,183 and 760,910 is: 1,630,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,183 : 760,910 = 760,910 : x
  2. Step 2: Convert to fraction form
    355,183/760,910 = 760,910/x
  3. Step 3: Cross multiply
    355,183x = 760,910 × 760,910
  4. Step 4: Simplify right side
    355,183x = 578,984,028,100
  5. Step 5: Solve for x
    x = 578,984,028,100/355,183
  6. Step 6: Final answer
    x = 1,630,100.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.