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Finding the Third Proportional to 370,962 and 556,524

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Solution

The third proportional to 370,962 and 556,524 is: 834,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,962 : 556,524 = 556,524 : x
  2. Step 2: Convert to fraction form
    370,962/556,524 = 556,524/x
  3. Step 3: Cross multiply
    370,962x = 556,524 × 556,524
  4. Step 4: Simplify right side
    370,962x = 309,718,962,576
  5. Step 5: Solve for x
    x = 309,718,962,576/370,962
  6. Step 6: Final answer
    x = 834,907.52

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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.