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Finding the Third Proportional to 416,205 and 623,162.25

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Solution

The third proportional to 416,205 and 623,162.25 is: 933,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,205 : 623,162.25 = 623,162.25 : x
  2. Step 2: Convert to fraction form
    416,205/623,162.25 = 623,162.25/x
  3. Step 3: Cross multiply
    416,205x = 623,162.25 × 623,162.25
  4. Step 4: Simplify right side
    416,205x = 388,331,189,825.06
  5. Step 5: Solve for x
    x = 388,331,189,825.06/416,205
  6. Step 6: Final answer
    x = 933,028.65

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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.