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Finding the Third Proportional to 302,015.25 and 452,999.25

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Solution

The third proportional to 302,015.25 and 452,999.25 is: 679,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,015.25 : 452,999.25 = 452,999.25 : x
  2. Step 2: Convert to fraction form
    302,015.25/452,999.25 = 452,999.25/x
  3. Step 3: Cross multiply
    302,015.25x = 452,999.25 × 452,999.25
  4. Step 4: Simplify right side
    302,015.25x = 205,208,320,500.56
  5. Step 5: Solve for x
    x = 205,208,320,500.56/302,015.25
  6. Step 6: Final answer
    x = 679,463.44

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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.