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Finding the Third Proportional to 316,634 and 489,652

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Solution

The third proportional to 316,634 and 489,652 is: 757,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,634 : 489,652 = 489,652 : x
  2. Step 2: Convert to fraction form
    316,634/489,652 = 489,652/x
  3. Step 3: Cross multiply
    316,634x = 489,652 × 489,652
  4. Step 4: Simplify right side
    316,634x = 239,759,081,104
  5. Step 5: Solve for x
    x = 239,759,081,104/316,634
  6. Step 6: Final answer
    x = 757,212.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.