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Finding the Third Proportional to 312,228 and 493,938

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Solution

The third proportional to 312,228 and 493,938 is: 781,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,228 : 493,938 = 493,938 : x
  2. Step 2: Convert to fraction form
    312,228/493,938 = 493,938/x
  3. Step 3: Cross multiply
    312,228x = 493,938 × 493,938
  4. Step 4: Simplify right side
    312,228x = 243,974,747,844
  5. Step 5: Solve for x
    x = 243,974,747,844/312,228
  6. Step 6: Final answer
    x = 781,399.32

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.