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Finding the Third Proportional to 296,397 and 649,008

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Solution

The third proportional to 296,397 and 649,008 is: 1,421,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,397 : 649,008 = 649,008 : x
  2. Step 2: Convert to fraction form
    296,397/649,008 = 649,008/x
  3. Step 3: Cross multiply
    296,397x = 649,008 × 649,008
  4. Step 4: Simplify right side
    296,397x = 421,211,384,064
  5. Step 5: Solve for x
    x = 421,211,384,064/296,397
  6. Step 6: Final answer
    x = 1,421,105.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.