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Finding the Third Proportional to 350,244 and 512,872.50

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Solution

The third proportional to 350,244 and 512,872.50 is: 751,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,244 : 512,872.50 = 512,872.50 : x
  2. Step 2: Convert to fraction form
    350,244/512,872.50 = 512,872.50/x
  3. Step 3: Cross multiply
    350,244x = 512,872.50 × 512,872.50
  4. Step 4: Simplify right side
    350,244x = 263,038,201,256.25
  5. Step 5: Solve for x
    x = 263,038,201,256.25/350,244
  6. Step 6: Final answer
    x = 751,014.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.