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Finding the Third Proportional to 259,808 and 389,748

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Solution

The third proportional to 259,808 and 389,748 is: 584,676.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,808 : 389,748 = 389,748 : x
  2. Step 2: Convert to fraction form
    259,808/389,748 = 389,748/x
  3. Step 3: Cross multiply
    259,808x = 389,748 × 389,748
  4. Step 4: Simplify right side
    259,808x = 151,903,503,504
  5. Step 5: Solve for x
    x = 151,903,503,504/259,808
  6. Step 6: Final answer
    x = 584,676.00

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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.