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Finding the Third Proportional to 309,219 and 671,313.75

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Solution

The third proportional to 309,219 and 671,313.75 is: 1,457,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,219 : 671,313.75 = 671,313.75 : x
  2. Step 2: Convert to fraction form
    309,219/671,313.75 = 671,313.75/x
  3. Step 3: Cross multiply
    309,219x = 671,313.75 × 671,313.75
  4. Step 4: Simplify right side
    309,219x = 450,662,150,939.06
  5. Step 5: Solve for x
    x = 450,662,150,939.06/309,219
  6. Step 6: Final answer
    x = 1,457,420.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.