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Finding the Third Proportional to 311,869.50 and 683,403

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Solution

The third proportional to 311,869.50 and 683,403 is: 1,497,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,869.50 : 683,403 = 683,403 : x
  2. Step 2: Convert to fraction form
    311,869.50/683,403 = 683,403/x
  3. Step 3: Cross multiply
    311,869.50x = 683,403 × 683,403
  4. Step 4: Simplify right side
    311,869.50x = 467,039,660,409
  5. Step 5: Solve for x
    x = 467,039,660,409/311,869.50
  6. Step 6: Final answer
    x = 1,497,548.37

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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.