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Finding the Third Proportional to 416,360 and 623,400

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Solution

The third proportional to 416,360 and 623,400 is: 933,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,360 : 623,400 = 623,400 : x
  2. Step 2: Convert to fraction form
    416,360/623,400 = 623,400/x
  3. Step 3: Cross multiply
    416,360x = 623,400 × 623,400
  4. Step 4: Simplify right side
    416,360x = 388,627,560,000
  5. Step 5: Solve for x
    x = 388,627,560,000/416,360
  6. Step 6: Final answer
    x = 933,393.12

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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.