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Finding the Third Proportional to 382,542.75 and 590,272.50

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Solution

The third proportional to 382,542.75 and 590,272.50 is: 910,804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,542.75 : 590,272.50 = 590,272.50 : x
  2. Step 2: Convert to fraction form
    382,542.75/590,272.50 = 590,272.50/x
  3. Step 3: Cross multiply
    382,542.75x = 590,272.50 × 590,272.50
  4. Step 4: Simplify right side
    382,542.75x = 348,421,624,256.25
  5. Step 5: Solve for x
    x = 348,421,624,256.25/382,542.75
  6. Step 6: Final answer
    x = 910,804.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.