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Finding the Third Proportional to 361,407 and 482,980.50

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Solution

The third proportional to 361,407 and 482,980.50 is: 645,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,407 : 482,980.50 = 482,980.50 : x
  2. Step 2: Convert to fraction form
    361,407/482,980.50 = 482,980.50/x
  3. Step 3: Cross multiply
    361,407x = 482,980.50 × 482,980.50
  4. Step 4: Simplify right side
    361,407x = 233,270,163,380.25
  5. Step 5: Solve for x
    x = 233,270,163,380.25/361,407
  6. Step 6: Final answer
    x = 645,450.04

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.