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Finding the Third Proportional to 240,538.50 and 519,213

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Solution

The third proportional to 240,538.50 and 519,213 is: 1,120,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,538.50 : 519,213 = 519,213 : x
  2. Step 2: Convert to fraction form
    240,538.50/519,213 = 519,213/x
  3. Step 3: Cross multiply
    240,538.50x = 519,213 × 519,213
  4. Step 4: Simplify right side
    240,538.50x = 269,582,139,369
  5. Step 5: Solve for x
    x = 269,582,139,369/240,538.50
  6. Step 6: Final answer
    x = 1,120,744.24

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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.