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Finding the Third Proportional to 462,807 and 699,144.75

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Solution

The third proportional to 462,807 and 699,144.75 is: 1,056,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,807 : 699,144.75 = 699,144.75 : x
  2. Step 2: Convert to fraction form
    462,807/699,144.75 = 699,144.75/x
  3. Step 3: Cross multiply
    462,807x = 699,144.75 × 699,144.75
  4. Step 4: Simplify right side
    462,807x = 488,803,381,452.56
  5. Step 5: Solve for x
    x = 488,803,381,452.56/462,807
  6. Step 6: Final answer
    x = 1,056,171.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.