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Finding the Third Proportional to 375,853.50 and 543,044.25

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Solution

The third proportional to 375,853.50 and 543,044.25 is: 784,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,853.50 : 543,044.25 = 543,044.25 : x
  2. Step 2: Convert to fraction form
    375,853.50/543,044.25 = 543,044.25/x
  3. Step 3: Cross multiply
    375,853.50x = 543,044.25 × 543,044.25
  4. Step 4: Simplify right side
    375,853.50x = 294,897,057,458.06
  5. Step 5: Solve for x
    x = 294,897,057,458.06/375,853.50
  6. Step 6: Final answer
    x = 784,606.39

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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.