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Finding the Third Proportional to 298,851.75 and 644,946

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Solution

The third proportional to 298,851.75 and 644,946 is: 1,391,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,851.75 : 644,946 = 644,946 : x
  2. Step 2: Convert to fraction form
    298,851.75/644,946 = 644,946/x
  3. Step 3: Cross multiply
    298,851.75x = 644,946 × 644,946
  4. Step 4: Simplify right side
    298,851.75x = 415,955,342,916
  5. Step 5: Solve for x
    x = 415,955,342,916/298,851.75
  6. Step 6: Final answer
    x = 1,391,845.10

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Why These Related Problems?

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