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Finding the Third Proportional to 233,492 and 341,911

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Solution

The third proportional to 233,492 and 341,911 is: 500,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,492 : 341,911 = 341,911 : x
  2. Step 2: Convert to fraction form
    233,492/341,911 = 341,911/x
  3. Step 3: Cross multiply
    233,492x = 341,911 × 341,911
  4. Step 4: Simplify right side
    233,492x = 116,903,131,921
  5. Step 5: Solve for x
    x = 116,903,131,921/233,492
  6. Step 6: Final answer
    x = 500,672.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.