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Finding the Third Proportional to 605,796 and 950,370

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Solution

The third proportional to 605,796 and 950,370 is: 1,490,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,796 : 950,370 = 950,370 : x
  2. Step 2: Convert to fraction form
    605,796/950,370 = 950,370/x
  3. Step 3: Cross multiply
    605,796x = 950,370 × 950,370
  4. Step 4: Simplify right side
    605,796x = 903,203,136,900
  5. Step 5: Solve for x
    x = 903,203,136,900/605,796
  6. Step 6: Final answer
    x = 1,490,936.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.