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Finding the Third Proportional to 309,259 and 670,997

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Solution

The third proportional to 309,259 and 670,997 is: 1,455,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,259 : 670,997 = 670,997 : x
  2. Step 2: Convert to fraction form
    309,259/670,997 = 670,997/x
  3. Step 3: Cross multiply
    309,259x = 670,997 × 670,997
  4. Step 4: Simplify right side
    309,259x = 450,236,974,009
  5. Step 5: Solve for x
    x = 450,236,974,009/309,259
  6. Step 6: Final answer
    x = 1,455,857.30

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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.