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Finding the Third Proportional to 373,410 and 567,019

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Solution

The third proportional to 373,410 and 567,019 is: 861,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,410 : 567,019 = 567,019 : x
  2. Step 2: Convert to fraction form
    373,410/567,019 = 567,019/x
  3. Step 3: Cross multiply
    373,410x = 567,019 × 567,019
  4. Step 4: Simplify right side
    373,410x = 321,510,546,361
  5. Step 5: Solve for x
    x = 321,510,546,361/373,410
  6. Step 6: Final answer
    x = 861,012.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.