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Finding the Third Proportional to 613,497 and 947,605.50

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Solution

The third proportional to 613,497 and 947,605.50 is: 1,463,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,497 : 947,605.50 = 947,605.50 : x
  2. Step 2: Convert to fraction form
    613,497/947,605.50 = 947,605.50/x
  3. Step 3: Cross multiply
    613,497x = 947,605.50 × 947,605.50
  4. Step 4: Simplify right side
    613,497x = 897,956,183,630.25
  5. Step 5: Solve for x
    x = 897,956,183,630.25/613,497
  6. Step 6: Final answer
    x = 1,463,668.42

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.