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Finding the Third Proportional to 285,276 and 441,492

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Solution

The third proportional to 285,276 and 441,492 is: 683,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,276 : 441,492 = 441,492 : x
  2. Step 2: Convert to fraction form
    285,276/441,492 = 441,492/x
  3. Step 3: Cross multiply
    285,276x = 441,492 × 441,492
  4. Step 4: Simplify right side
    285,276x = 194,915,186,064
  5. Step 5: Solve for x
    x = 194,915,186,064/285,276
  6. Step 6: Final answer
    x = 683,251.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.