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Finding the Third Proportional to 242,761 and 529,991

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Solution

The third proportional to 242,761 and 529,991 is: 1,157,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,761 : 529,991 = 529,991 : x
  2. Step 2: Convert to fraction form
    242,761/529,991 = 529,991/x
  3. Step 3: Cross multiply
    242,761x = 529,991 × 529,991
  4. Step 4: Simplify right side
    242,761x = 280,890,460,081
  5. Step 5: Solve for x
    x = 280,890,460,081/242,761
  6. Step 6: Final answer
    x = 1,157,065.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.