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Finding the Third Proportional to 298,869.75 and 644,967

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Solution

The third proportional to 298,869.75 and 644,967 is: 1,391,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,869.75 : 644,967 = 644,967 : x
  2. Step 2: Convert to fraction form
    298,869.75/644,967 = 644,967/x
  3. Step 3: Cross multiply
    298,869.75x = 644,967 × 644,967
  4. Step 4: Simplify right side
    298,869.75x = 415,982,431,089
  5. Step 5: Solve for x
    x = 415,982,431,089/298,869.75
  6. Step 6: Final answer
    x = 1,391,851.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.