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Finding the Third Proportional to 350,941 and 524,068

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Solution

The third proportional to 350,941 and 524,068 is: 782,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,941 : 524,068 = 524,068 : x
  2. Step 2: Convert to fraction form
    350,941/524,068 = 524,068/x
  3. Step 3: Cross multiply
    350,941x = 524,068 × 524,068
  4. Step 4: Simplify right side
    350,941x = 274,647,268,624
  5. Step 5: Solve for x
    x = 274,647,268,624/350,941
  6. Step 6: Final answer
    x = 782,602.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.