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Finding the Third Proportional to 541,609.50 and 757,148.50

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Solution

The third proportional to 541,609.50 and 757,148.50 is: 1,058,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,609.50 : 757,148.50 = 757,148.50 : x
  2. Step 2: Convert to fraction form
    541,609.50/757,148.50 = 757,148.50/x
  3. Step 3: Cross multiply
    541,609.50x = 757,148.50 × 757,148.50
  4. Step 4: Simplify right side
    541,609.50x = 573,273,851,052.25
  5. Step 5: Solve for x
    x = 573,273,851,052.25/541,609.50
  6. Step 6: Final answer
    x = 1,058,463.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.