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Finding the Third Proportional to 591,810.75 and 837,400.50

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Solution

The third proportional to 591,810.75 and 837,400.50 is: 1,184,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,810.75 : 837,400.50 = 837,400.50 : x
  2. Step 2: Convert to fraction form
    591,810.75/837,400.50 = 837,400.50/x
  3. Step 3: Cross multiply
    591,810.75x = 837,400.50 × 837,400.50
  4. Step 4: Simplify right side
    591,810.75x = 701,239,597,400.25
  5. Step 5: Solve for x
    x = 701,239,597,400.25/591,810.75
  6. Step 6: Final answer
    x = 1,184,905.14

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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.