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Finding the Third Proportional to 301,208 and 649,070

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Solution

The third proportional to 301,208 and 649,070 is: 1,398,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,208 : 649,070 = 649,070 : x
  2. Step 2: Convert to fraction form
    301,208/649,070 = 649,070/x
  3. Step 3: Cross multiply
    301,208x = 649,070 × 649,070
  4. Step 4: Simplify right side
    301,208x = 421,291,864,900
  5. Step 5: Solve for x
    x = 421,291,864,900/301,208
  6. Step 6: Final answer
    x = 1,398,674.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.