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Finding the Third Proportional to 616,593 and 922,369.50

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Solution

The third proportional to 616,593 and 922,369.50 is: 1,379,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,593 : 922,369.50 = 922,369.50 : x
  2. Step 2: Convert to fraction form
    616,593/922,369.50 = 922,369.50/x
  3. Step 3: Cross multiply
    616,593x = 922,369.50 × 922,369.50
  4. Step 4: Simplify right side
    616,593x = 850,765,494,530.25
  5. Step 5: Solve for x
    x = 850,765,494,530.25/616,593
  6. Step 6: Final answer
    x = 1,379,784.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.