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Finding the Third Proportional to 415,365 and 622,356

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Solution

The third proportional to 415,365 and 622,356 is: 932,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,365 : 622,356 = 622,356 : x
  2. Step 2: Convert to fraction form
    415,365/622,356 = 622,356/x
  3. Step 3: Cross multiply
    415,365x = 622,356 × 622,356
  4. Step 4: Simplify right side
    415,365x = 387,326,990,736
  5. Step 5: Solve for x
    x = 387,326,990,736/415,365
  6. Step 6: Final answer
    x = 932,497.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.