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Finding the Third Proportional to 285,295.50 and 441,531

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Solution

The third proportional to 285,295.50 and 441,531 is: 683,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,295.50 : 441,531 = 441,531 : x
  2. Step 2: Convert to fraction form
    285,295.50/441,531 = 441,531/x
  3. Step 3: Cross multiply
    285,295.50x = 441,531 × 441,531
  4. Step 4: Simplify right side
    285,295.50x = 194,949,623,961
  5. Step 5: Solve for x
    x = 194,949,623,961/285,295.50
  6. Step 6: Final answer
    x = 683,325.27

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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.