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Finding the Third Proportional to 240,541.50 and 519,219

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Solution

The third proportional to 240,541.50 and 519,219 is: 1,120,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,541.50 : 519,219 = 519,219 : x
  2. Step 2: Convert to fraction form
    240,541.50/519,219 = 519,219/x
  3. Step 3: Cross multiply
    240,541.50x = 519,219 × 519,219
  4. Step 4: Simplify right side
    240,541.50x = 269,588,369,961
  5. Step 5: Solve for x
    x = 269,588,369,961/240,541.50
  6. Step 6: Final answer
    x = 1,120,756.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.