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Finding the Third Proportional to 285,087.09 and 619,779.09

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Solution

The third proportional to 285,087.09 and 619,779.09 is: 1,347,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,087.09 : 619,779.09 = 619,779.09 : x
  2. Step 2: Convert to fraction form
    285,087.09/619,779.09 = 619,779.09/x
  3. Step 3: Cross multiply
    285,087.09x = 619,779.09 × 619,779.09
  4. Step 4: Simplify right side
    285,087.09x = 384,126,125,049.57
  5. Step 5: Solve for x
    x = 384,126,125,049.57/285,087.09
  6. Step 6: Final answer
    x = 1,347,399.21

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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.