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Finding the Third Proportional to 313,837.50 and 686,359.50

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Solution

The third proportional to 313,837.50 and 686,359.50 is: 1,501,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,837.50 : 686,359.50 = 686,359.50 : x
  2. Step 2: Convert to fraction form
    313,837.50/686,359.50 = 686,359.50/x
  3. Step 3: Cross multiply
    313,837.50x = 686,359.50 × 686,359.50
  4. Step 4: Simplify right side
    313,837.50x = 471,089,363,240.25
  5. Step 5: Solve for x
    x = 471,089,363,240.25/313,837.50
  6. Step 6: Final answer
    x = 1,501,061.42

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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.