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Finding the Third Proportional to 377,838 and 584,937

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Solution

The third proportional to 377,838 and 584,937 is: 905,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,838 : 584,937 = 584,937 : x
  2. Step 2: Convert to fraction form
    377,838/584,937 = 584,937/x
  3. Step 3: Cross multiply
    377,838x = 584,937 × 584,937
  4. Step 4: Simplify right side
    377,838x = 342,151,293,969
  5. Step 5: Solve for x
    x = 342,151,293,969/377,838
  6. Step 6: Final answer
    x = 905,550.25

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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.