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Finding the Third Proportional to 250,827 and 535,671

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Solution

The third proportional to 250,827 and 535,671 is: 1,143,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,827 : 535,671 = 535,671 : x
  2. Step 2: Convert to fraction form
    250,827/535,671 = 535,671/x
  3. Step 3: Cross multiply
    250,827x = 535,671 × 535,671
  4. Step 4: Simplify right side
    250,827x = 286,943,420,241
  5. Step 5: Solve for x
    x = 286,943,420,241/250,827
  6. Step 6: Final answer
    x = 1,143,989.36

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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.