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Finding the Third Proportional to 591,233 and 913,050.50

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Solution

The third proportional to 591,233 and 913,050.50 is: 1,410,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,233 : 913,050.50 = 913,050.50 : x
  2. Step 2: Convert to fraction form
    591,233/913,050.50 = 913,050.50/x
  3. Step 3: Cross multiply
    591,233x = 913,050.50 × 913,050.50
  4. Step 4: Simplify right side
    591,233x = 833,661,215,550.25
  5. Step 5: Solve for x
    x = 833,661,215,550.25/591,233
  6. Step 6: Final answer
    x = 1,410,038.37

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