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Finding the Third Proportional to 591,721.31 and 837,280.69

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Solution

The third proportional to 591,721.31 and 837,280.69 is: 1,184,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,721.31 : 837,280.69 = 837,280.69 : x
  2. Step 2: Convert to fraction form
    591,721.31/837,280.69 = 837,280.69/x
  3. Step 3: Cross multiply
    591,721.31x = 837,280.69 × 837,280.69
  4. Step 4: Simplify right side
    591,721.31x = 701,038,949,660.47
  5. Step 5: Solve for x
    x = 701,038,949,660.47/591,721.31
  6. Step 6: Final answer
    x = 1,184,745.14

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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.