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Finding the Third Proportional to 200,532 and 428,131.50

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Solution

The third proportional to 200,532 and 428,131.50 is: 914,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,532 : 428,131.50 = 428,131.50 : x
  2. Step 2: Convert to fraction form
    200,532/428,131.50 = 428,131.50/x
  3. Step 3: Cross multiply
    200,532x = 428,131.50 × 428,131.50
  4. Step 4: Simplify right side
    200,532x = 183,296,581,292.25
  5. Step 5: Solve for x
    x = 183,296,581,292.25/200,532
  6. Step 6: Final answer
    x = 914,051.53

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.