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Finding the Third Proportional to 250,870 and 536,650

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Solution

The third proportional to 250,870 and 536,650 is: 1,147,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,870 : 536,650 = 536,650 : x
  2. Step 2: Convert to fraction form
    250,870/536,650 = 536,650/x
  3. Step 3: Cross multiply
    250,870x = 536,650 × 536,650
  4. Step 4: Simplify right side
    250,870x = 287,993,222,500
  5. Step 5: Solve for x
    x = 287,993,222,500/250,870
  6. Step 6: Final answer
    x = 1,147,977.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.