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Finding the Third Proportional to 436,851 and 659,287.50

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Solution

The third proportional to 436,851 and 659,287.50 is: 994,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,851 : 659,287.50 = 659,287.50 : x
  2. Step 2: Convert to fraction form
    436,851/659,287.50 = 659,287.50/x
  3. Step 3: Cross multiply
    436,851x = 659,287.50 × 659,287.50
  4. Step 4: Simplify right side
    436,851x = 434,660,007,656.25
  5. Step 5: Solve for x
    x = 434,660,007,656.25/436,851
  6. Step 6: Final answer
    x = 994,984.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.