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Finding the Third Proportional to 283,195.50 and 552,018

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Solution

The third proportional to 283,195.50 and 552,018 is: 1,076,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,195.50 : 552,018 = 552,018 : x
  2. Step 2: Convert to fraction form
    283,195.50/552,018 = 552,018/x
  3. Step 3: Cross multiply
    283,195.50x = 552,018 × 552,018
  4. Step 4: Simplify right side
    283,195.50x = 304,723,872,324
  5. Step 5: Solve for x
    x = 304,723,872,324/283,195.50
  6. Step 6: Final answer
    x = 1,076,019.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.