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Finding the Third Proportional to 409,219 and 889,272.50

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Solution

The third proportional to 409,219 and 889,272.50 is: 1,932,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,219 : 889,272.50 = 889,272.50 : x
  2. Step 2: Convert to fraction form
    409,219/889,272.50 = 889,272.50/x
  3. Step 3: Cross multiply
    409,219x = 889,272.50 × 889,272.50
  4. Step 4: Simplify right side
    409,219x = 790,805,579,256.25
  5. Step 5: Solve for x
    x = 790,805,579,256.25/409,219
  6. Step 6: Final answer
    x = 1,932,475.23

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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.