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Finding the Third Proportional to 262,991 and 575,190

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Solution

The third proportional to 262,991 and 575,190 is: 1,258,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,991 : 575,190 = 575,190 : x
  2. Step 2: Convert to fraction form
    262,991/575,190 = 575,190/x
  3. Step 3: Cross multiply
    262,991x = 575,190 × 575,190
  4. Step 4: Simplify right side
    262,991x = 330,843,536,100
  5. Step 5: Solve for x
    x = 330,843,536,100/262,991
  6. Step 6: Final answer
    x = 1,258,003.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.