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Finding the Third Proportional to 262,966.50 and 575,991

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Solution

The third proportional to 262,966.50 and 575,991 is: 1,261,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,966.50 : 575,991 = 575,991 : x
  2. Step 2: Convert to fraction form
    262,966.50/575,991 = 575,991/x
  3. Step 3: Cross multiply
    262,966.50x = 575,991 × 575,991
  4. Step 4: Simplify right side
    262,966.50x = 331,765,632,081
  5. Step 5: Solve for x
    x = 331,765,632,081/262,966.50
  6. Step 6: Final answer
    x = 1,261,626.98

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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.