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Finding the Third Proportional to 242,389.50 and 520,761

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Solution

The third proportional to 242,389.50 and 520,761 is: 1,118,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,389.50 : 520,761 = 520,761 : x
  2. Step 2: Convert to fraction form
    242,389.50/520,761 = 520,761/x
  3. Step 3: Cross multiply
    242,389.50x = 520,761 × 520,761
  4. Step 4: Simplify right side
    242,389.50x = 271,192,019,121
  5. Step 5: Solve for x
    x = 271,192,019,121/242,389.50
  6. Step 6: Final answer
    x = 1,118,827.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.