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Finding the Third Proportional to 368,786 and 556,571

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Solution

The third proportional to 368,786 and 556,571 is: 839,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,786 : 556,571 = 556,571 : x
  2. Step 2: Convert to fraction form
    368,786/556,571 = 556,571/x
  3. Step 3: Cross multiply
    368,786x = 556,571 × 556,571
  4. Step 4: Simplify right side
    368,786x = 309,771,278,041
  5. Step 5: Solve for x
    x = 309,771,278,041/368,786
  6. Step 6: Final answer
    x = 839,975.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.