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Finding the Third Proportional to 591,259.50 and 913,133.25

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Solution

The third proportional to 591,259.50 and 913,133.25 is: 1,410,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,259.50 : 913,133.25 = 913,133.25 : x
  2. Step 2: Convert to fraction form
    591,259.50/913,133.25 = 913,133.25/x
  3. Step 3: Cross multiply
    591,259.50x = 913,133.25 × 913,133.25
  4. Step 4: Simplify right side
    591,259.50x = 833,812,332,255.56
  5. Step 5: Solve for x
    x = 833,812,332,255.56/591,259.50
  6. Step 6: Final answer
    x = 1,410,230.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.