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Finding the Third Proportional to 311,097 and 494,664

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Solution

The third proportional to 311,097 and 494,664 is: 786,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,097 : 494,664 = 494,664 : x
  2. Step 2: Convert to fraction form
    311,097/494,664 = 494,664/x
  3. Step 3: Cross multiply
    311,097x = 494,664 × 494,664
  4. Step 4: Simplify right side
    311,097x = 244,692,472,896
  5. Step 5: Solve for x
    x = 244,692,472,896/311,097
  6. Step 6: Final answer
    x = 786,547.20

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.