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Finding the Third Proportional to 591,783 and 837,360

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Solution

The third proportional to 591,783 and 837,360 is: 1,184,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,783 : 837,360 = 837,360 : x
  2. Step 2: Convert to fraction form
    591,783/837,360 = 837,360/x
  3. Step 3: Cross multiply
    591,783x = 837,360 × 837,360
  4. Step 4: Simplify right side
    591,783x = 701,171,769,600
  5. Step 5: Solve for x
    x = 701,171,769,600/591,783
  6. Step 6: Final answer
    x = 1,184,846.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.