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Finding the Third Proportional to 416,396 and 623,450

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Solution

The third proportional to 416,396 and 623,450 is: 933,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,396 : 623,450 = 623,450 : x
  2. Step 2: Convert to fraction form
    416,396/623,450 = 623,450/x
  3. Step 3: Cross multiply
    416,396x = 623,450 × 623,450
  4. Step 4: Simplify right side
    416,396x = 388,689,902,500
  5. Step 5: Solve for x
    x = 388,689,902,500/416,396
  6. Step 6: Final answer
    x = 933,462.14

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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.