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Finding the Third Proportional to 187,623 and 433,984.50

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Solution

The third proportional to 187,623 and 433,984.50 is: 1,003,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,623 : 433,984.50 = 433,984.50 : x
  2. Step 2: Convert to fraction form
    187,623/433,984.50 = 433,984.50/x
  3. Step 3: Cross multiply
    187,623x = 433,984.50 × 433,984.50
  4. Step 4: Simplify right side
    187,623x = 188,342,546,240.25
  5. Step 5: Solve for x
    x = 188,342,546,240.25/187,623
  6. Step 6: Final answer
    x = 1,003,835.06

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.