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Finding the Third Proportional to 377,883 and 585,078.75

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Solution

The third proportional to 377,883 and 585,078.75 is: 905,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,883 : 585,078.75 = 585,078.75 : x
  2. Step 2: Convert to fraction form
    377,883/585,078.75 = 585,078.75/x
  3. Step 3: Cross multiply
    377,883x = 585,078.75 × 585,078.75
  4. Step 4: Simplify right side
    377,883x = 342,317,143,701.56
  5. Step 5: Solve for x
    x = 342,317,143,701.56/377,883
  6. Step 6: Final answer
    x = 905,881.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.