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Finding the Third Proportional to 298,349 and 621,724

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Solution

The third proportional to 298,349 and 621,724 is: 1,295,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,349 : 621,724 = 621,724 : x
  2. Step 2: Convert to fraction form
    298,349/621,724 = 621,724/x
  3. Step 3: Cross multiply
    298,349x = 621,724 × 621,724
  4. Step 4: Simplify right side
    298,349x = 386,540,732,176
  5. Step 5: Solve for x
    x = 386,540,732,176/298,349
  6. Step 6: Final answer
    x = 1,295,599.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.