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Finding the Third Proportional to 285,055.50 and 619,728

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Solution

The third proportional to 285,055.50 and 619,728 is: 1,347,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,055.50 : 619,728 = 619,728 : x
  2. Step 2: Convert to fraction form
    285,055.50/619,728 = 619,728/x
  3. Step 3: Cross multiply
    285,055.50x = 619,728 × 619,728
  4. Step 4: Simplify right side
    285,055.50x = 384,062,793,984
  5. Step 5: Solve for x
    x = 384,062,793,984/285,055.50
  6. Step 6: Final answer
    x = 1,347,326.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.