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Finding the Third Proportional to 298,740 and 473,268

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Solution

The third proportional to 298,740 and 473,268 is: 749,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,740 : 473,268 = 473,268 : x
  2. Step 2: Convert to fraction form
    298,740/473,268 = 473,268/x
  3. Step 3: Cross multiply
    298,740x = 473,268 × 473,268
  4. Step 4: Simplify right side
    298,740x = 223,982,599,824
  5. Step 5: Solve for x
    x = 223,982,599,824/298,740
  6. Step 6: Final answer
    x = 749,757.65

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.