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Finding the Third Proportional to 342,115.50 and 492,807

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Solution

The third proportional to 342,115.50 and 492,807 is: 709,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,115.50 : 492,807 = 492,807 : x
  2. Step 2: Convert to fraction form
    342,115.50/492,807 = 492,807/x
  3. Step 3: Cross multiply
    342,115.50x = 492,807 × 492,807
  4. Step 4: Simplify right side
    342,115.50x = 242,858,739,249
  5. Step 5: Solve for x
    x = 242,858,739,249/342,115.50
  6. Step 6: Final answer
    x = 709,873.53

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.