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Finding the Third Proportional to 368,786 and 556,569

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Solution

The third proportional to 368,786 and 556,569 is: 839,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,786 : 556,569 = 556,569 : x
  2. Step 2: Convert to fraction form
    368,786/556,569 = 556,569/x
  3. Step 3: Cross multiply
    368,786x = 556,569 × 556,569
  4. Step 4: Simplify right side
    368,786x = 309,769,051,761
  5. Step 5: Solve for x
    x = 309,769,051,761/368,786
  6. Step 6: Final answer
    x = 839,969.66

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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.