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Finding the Third Proportional to 298,368 and 649,170

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Solution

The third proportional to 298,368 and 649,170 is: 1,412,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,368 : 649,170 = 649,170 : x
  2. Step 2: Convert to fraction form
    298,368/649,170 = 649,170/x
  3. Step 3: Cross multiply
    298,368x = 649,170 × 649,170
  4. Step 4: Simplify right side
    298,368x = 421,421,688,900
  5. Step 5: Solve for x
    x = 421,421,688,900/298,368
  6. Step 6: Final answer
    x = 1,412,422.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.