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Finding the Third Proportional to 423,753.75 and 628,299

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Solution

The third proportional to 423,753.75 and 628,299 is: 931,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,753.75 : 628,299 = 628,299 : x
  2. Step 2: Convert to fraction form
    423,753.75/628,299 = 628,299/x
  3. Step 3: Cross multiply
    423,753.75x = 628,299 × 628,299
  4. Step 4: Simplify right side
    423,753.75x = 394,759,633,401
  5. Step 5: Solve for x
    x = 394,759,633,401/423,753.75
  6. Step 6: Final answer
    x = 931,577.91

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.