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Finding the Third Proportional to 287,994 and 387,696

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Solution

The third proportional to 287,994 and 387,696 is: 521,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,994 : 387,696 = 387,696 : x
  2. Step 2: Convert to fraction form
    287,994/387,696 = 387,696/x
  3. Step 3: Cross multiply
    287,994x = 387,696 × 387,696
  4. Step 4: Simplify right side
    287,994x = 150,308,188,416
  5. Step 5: Solve for x
    x = 150,308,188,416/287,994
  6. Step 6: Final answer
    x = 521,914.31

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.