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Finding the Third Proportional to 605,790 and 950,361

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Solution

The third proportional to 605,790 and 950,361 is: 1,490,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,790 : 950,361 = 950,361 : x
  2. Step 2: Convert to fraction form
    605,790/950,361 = 950,361/x
  3. Step 3: Cross multiply
    605,790x = 950,361 × 950,361
  4. Step 4: Simplify right side
    605,790x = 903,186,030,321
  5. Step 5: Solve for x
    x = 903,186,030,321/605,790
  6. Step 6: Final answer
    x = 1,490,922.65

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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.