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Finding the Third Proportional to 339,098 and 730,682

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Solution

The third proportional to 339,098 and 730,682 is: 1,574,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,098 : 730,682 = 730,682 : x
  2. Step 2: Convert to fraction form
    339,098/730,682 = 730,682/x
  3. Step 3: Cross multiply
    339,098x = 730,682 × 730,682
  4. Step 4: Simplify right side
    339,098x = 533,896,185,124
  5. Step 5: Solve for x
    x = 533,896,185,124/339,098
  6. Step 6: Final answer
    x = 1,574,459.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.