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Finding the Third Proportional to 334,651.50 and 735,732

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Solution

The third proportional to 334,651.50 and 735,732 is: 1,617,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,651.50 : 735,732 = 735,732 : x
  2. Step 2: Convert to fraction form
    334,651.50/735,732 = 735,732/x
  3. Step 3: Cross multiply
    334,651.50x = 735,732 × 735,732
  4. Step 4: Simplify right side
    334,651.50x = 541,301,575,824
  5. Step 5: Solve for x
    x = 541,301,575,824/334,651.50
  6. Step 6: Final answer
    x = 1,617,508.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.