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Finding the Third Proportional to 239,834 and 346,492

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Solution

The third proportional to 239,834 and 346,492 is: 500,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,834 : 346,492 = 346,492 : x
  2. Step 2: Convert to fraction form
    239,834/346,492 = 346,492/x
  3. Step 3: Cross multiply
    239,834x = 346,492 × 346,492
  4. Step 4: Simplify right side
    239,834x = 120,056,706,064
  5. Step 5: Solve for x
    x = 120,056,706,064/239,834
  6. Step 6: Final answer
    x = 500,582.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.