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Finding the Third Proportional to 373,718 and 560,029

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Solution

The third proportional to 373,718 and 560,029 is: 839,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,718 : 560,029 = 560,029 : x
  2. Step 2: Convert to fraction form
    373,718/560,029 = 560,029/x
  3. Step 3: Cross multiply
    373,718x = 560,029 × 560,029
  4. Step 4: Simplify right side
    373,718x = 313,632,480,841
  5. Step 5: Solve for x
    x = 313,632,480,841/373,718
  6. Step 6: Final answer
    x = 839,222.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.