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Finding the Third Proportional to 242,697 and 379,889

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Solution

The third proportional to 242,697 and 379,889 is: 594,633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,697 : 379,889 = 379,889 : x
  2. Step 2: Convert to fraction form
    242,697/379,889 = 379,889/x
  3. Step 3: Cross multiply
    242,697x = 379,889 × 379,889
  4. Step 4: Simplify right side
    242,697x = 144,315,652,321
  5. Step 5: Solve for x
    x = 144,315,652,321/242,697
  6. Step 6: Final answer
    x = 594,633.03

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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.