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Finding the Third Proportional to 617,877 and 929,974.50

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Solution

The third proportional to 617,877 and 929,974.50 is: 1,399,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,877 : 929,974.50 = 929,974.50 : x
  2. Step 2: Convert to fraction form
    617,877/929,974.50 = 929,974.50/x
  3. Step 3: Cross multiply
    617,877x = 929,974.50 × 929,974.50
  4. Step 4: Simplify right side
    617,877x = 864,852,570,650.25
  5. Step 5: Solve for x
    x = 864,852,570,650.25/617,877
  6. Step 6: Final answer
    x = 1,399,716.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.