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Finding the Third Proportional to 250,875 and 536,094

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Solution

The third proportional to 250,875 and 536,094 is: 1,145,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,875 : 536,094 = 536,094 : x
  2. Step 2: Convert to fraction form
    250,875/536,094 = 536,094/x
  3. Step 3: Cross multiply
    250,875x = 536,094 × 536,094
  4. Step 4: Simplify right side
    250,875x = 287,396,776,836
  5. Step 5: Solve for x
    x = 287,396,776,836/250,875
  6. Step 6: Final answer
    x = 1,145,577.59

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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.