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Finding the Third Proportional to 252,855 and 378,567

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Solution

The third proportional to 252,855 and 378,567 is: 566,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,855 : 378,567 = 378,567 : x
  2. Step 2: Convert to fraction form
    252,855/378,567 = 378,567/x
  3. Step 3: Cross multiply
    252,855x = 378,567 × 378,567
  4. Step 4: Simplify right side
    252,855x = 143,312,973,489
  5. Step 5: Solve for x
    x = 143,312,973,489/252,855
  6. Step 6: Final answer
    x = 566,779.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.