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Finding the Third Proportional to 312,052.50 and 584,131.50

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Solution

The third proportional to 312,052.50 and 584,131.50 is: 1,093,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,052.50 : 584,131.50 = 584,131.50 : x
  2. Step 2: Convert to fraction form
    312,052.50/584,131.50 = 584,131.50/x
  3. Step 3: Cross multiply
    312,052.50x = 584,131.50 × 584,131.50
  4. Step 4: Simplify right side
    312,052.50x = 341,209,609,292.25
  5. Step 5: Solve for x
    x = 341,209,609,292.25/312,052.50
  6. Step 6: Final answer
    x = 1,093,436.55

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.