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Finding the Third Proportional to 250,868 and 536,646

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Solution

The third proportional to 250,868 and 536,646 is: 1,147,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,868 : 536,646 = 536,646 : x
  2. Step 2: Convert to fraction form
    250,868/536,646 = 536,646/x
  3. Step 3: Cross multiply
    250,868x = 536,646 × 536,646
  4. Step 4: Simplify right side
    250,868x = 287,988,929,316
  5. Step 5: Solve for x
    x = 287,988,929,316/250,868
  6. Step 6: Final answer
    x = 1,147,969.97

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