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Finding the Third Proportional to 605,780 and 950,348

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Solution

The third proportional to 605,780 and 950,348 is: 1,490,906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,780 : 950,348 = 950,348 : x
  2. Step 2: Convert to fraction form
    605,780/950,348 = 950,348/x
  3. Step 3: Cross multiply
    605,780x = 950,348 × 950,348
  4. Step 4: Simplify right side
    605,780x = 903,161,321,104
  5. Step 5: Solve for x
    x = 903,161,321,104/605,780
  6. Step 6: Final answer
    x = 1,490,906.47

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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.