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Finding the Third Proportional to 416,186 and 624,280

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Solution

The third proportional to 416,186 and 624,280 is: 936,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,186 : 624,280 = 624,280 : x
  2. Step 2: Convert to fraction form
    416,186/624,280 = 624,280/x
  3. Step 3: Cross multiply
    416,186x = 624,280 × 624,280
  4. Step 4: Simplify right side
    416,186x = 389,725,518,400
  5. Step 5: Solve for x
    x = 389,725,518,400/416,186
  6. Step 6: Final answer
    x = 936,421.50

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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.