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Finding the Third Proportional to 368,795 and 556,584

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Solution

The third proportional to 368,795 and 556,584 is: 839,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,795 : 556,584 = 556,584 : x
  2. Step 2: Convert to fraction form
    368,795/556,584 = 556,584/x
  3. Step 3: Cross multiply
    368,795x = 556,584 × 556,584
  4. Step 4: Simplify right side
    368,795x = 309,785,749,056
  5. Step 5: Solve for x
    x = 309,785,749,056/368,795
  6. Step 6: Final answer
    x = 839,994.44

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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.