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Finding the Third Proportional to 298,648.69 and 644,842.69

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Solution

The third proportional to 298,648.69 and 644,842.69 is: 1,392,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,648.69 : 644,842.69 = 644,842.69 : x
  2. Step 2: Convert to fraction form
    298,648.69/644,842.69 = 644,842.69/x
  3. Step 3: Cross multiply
    298,648.69x = 644,842.69 × 644,842.69
  4. Step 4: Simplify right side
    298,648.69x = 415,822,091,622.22
  5. Step 5: Solve for x
    x = 415,822,091,622.22/298,648.69
  6. Step 6: Final answer
    x = 1,392,345.28

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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.