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Finding the Third Proportional to 296,395 and 649,004

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Solution

The third proportional to 296,395 and 649,004 is: 1,421,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,395 : 649,004 = 649,004 : x
  2. Step 2: Convert to fraction form
    296,395/649,004 = 649,004/x
  3. Step 3: Cross multiply
    296,395x = 649,004 × 649,004
  4. Step 4: Simplify right side
    296,395x = 421,206,192,016
  5. Step 5: Solve for x
    x = 421,206,192,016/296,395
  6. Step 6: Final answer
    x = 1,421,097.49

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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.