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Finding the Third Proportional to 242,724 and 379,926

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Solution

The third proportional to 242,724 and 379,926 is: 594,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,724 : 379,926 = 379,926 : x
  2. Step 2: Convert to fraction form
    242,724/379,926 = 379,926/x
  3. Step 3: Cross multiply
    242,724x = 379,926 × 379,926
  4. Step 4: Simplify right side
    242,724x = 144,343,765,476
  5. Step 5: Solve for x
    x = 144,343,765,476/242,724
  6. Step 6: Final answer
    x = 594,682.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.