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Finding the Third Proportional to 624,850.88 and 946,039.50

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Solution

The third proportional to 624,850.88 and 946,039.50 is: 1,432,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,850.88 : 946,039.50 = 946,039.50 : x
  2. Step 2: Convert to fraction form
    624,850.88/946,039.50 = 946,039.50/x
  3. Step 3: Cross multiply
    624,850.88x = 946,039.50 × 946,039.50
  4. Step 4: Simplify right side
    624,850.88x = 894,990,735,560.25
  5. Step 5: Solve for x
    x = 894,990,735,560.25/624,850.88
  6. Step 6: Final answer
    x = 1,432,326.93

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Why These Related Problems?

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