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Finding the Third Proportional to 250,191 and 510,570

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Solution

The third proportional to 250,191 and 510,570 is: 1,041,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,191 : 510,570 = 510,570 : x
  2. Step 2: Convert to fraction form
    250,191/510,570 = 510,570/x
  3. Step 3: Cross multiply
    250,191x = 510,570 × 510,570
  4. Step 4: Simplify right side
    250,191x = 260,681,724,900
  5. Step 5: Solve for x
    x = 260,681,724,900/250,191
  6. Step 6: Final answer
    x = 1,041,930.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.