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Finding the Third Proportional to 370,976 and 556,544

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Solution

The third proportional to 370,976 and 556,544 is: 834,936.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,976 : 556,544 = 556,544 : x
  2. Step 2: Convert to fraction form
    370,976/556,544 = 556,544/x
  3. Step 3: Cross multiply
    370,976x = 556,544 × 556,544
  4. Step 4: Simplify right side
    370,976x = 309,741,223,936
  5. Step 5: Solve for x
    x = 309,741,223,936/370,976
  6. Step 6: Final answer
    x = 834,936.02

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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.