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Finding the Third Proportional to 389,682 and 609,129

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Solution

The third proportional to 389,682 and 609,129 is: 952,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,682 : 609,129 = 609,129 : x
  2. Step 2: Convert to fraction form
    389,682/609,129 = 609,129/x
  3. Step 3: Cross multiply
    389,682x = 609,129 × 609,129
  4. Step 4: Simplify right side
    389,682x = 371,038,138,641
  5. Step 5: Solve for x
    x = 371,038,138,641/389,682
  6. Step 6: Final answer
    x = 952,156.22

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.