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Finding the Third Proportional to 313,452 and 686,974.50

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Solution

The third proportional to 313,452 and 686,974.50 is: 1,505,602.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,452 : 686,974.50 = 686,974.50 : x
  2. Step 2: Convert to fraction form
    313,452/686,974.50 = 686,974.50/x
  3. Step 3: Cross multiply
    313,452x = 686,974.50 × 686,974.50
  4. Step 4: Simplify right side
    313,452x = 471,933,963,650.25
  5. Step 5: Solve for x
    x = 471,933,963,650.25/313,452
  6. Step 6: Final answer
    x = 1,505,602.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.