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Finding the Third Proportional to 313,125.75 and 683,113.50

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Solution

The third proportional to 313,125.75 and 683,113.50 is: 1,490,276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,125.75 : 683,113.50 = 683,113.50 : x
  2. Step 2: Convert to fraction form
    313,125.75/683,113.50 = 683,113.50/x
  3. Step 3: Cross multiply
    313,125.75x = 683,113.50 × 683,113.50
  4. Step 4: Simplify right side
    313,125.75x = 466,644,053,882.25
  5. Step 5: Solve for x
    x = 466,644,053,882.25/313,125.75
  6. Step 6: Final answer
    x = 1,490,276.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.