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Finding the Third Proportional to 298,213 and 621,574

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Solution

The third proportional to 298,213 and 621,574 is: 1,295,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,213 : 621,574 = 621,574 : x
  2. Step 2: Convert to fraction form
    298,213/621,574 = 621,574/x
  3. Step 3: Cross multiply
    298,213x = 621,574 × 621,574
  4. Step 4: Simplify right side
    298,213x = 386,354,237,476
  5. Step 5: Solve for x
    x = 386,354,237,476/298,213
  6. Step 6: Final answer
    x = 1,295,564.71

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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.