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Finding the Third Proportional to 541,574 and 757,115

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Solution

The third proportional to 541,574 and 757,115 is: 1,058,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,574 : 757,115 = 757,115 : x
  2. Step 2: Convert to fraction form
    541,574/757,115 = 757,115/x
  3. Step 3: Cross multiply
    541,574x = 757,115 × 757,115
  4. Step 4: Simplify right side
    541,574x = 573,223,123,225
  5. Step 5: Solve for x
    x = 573,223,123,225/541,574
  6. Step 6: Final answer
    x = 1,058,439.15

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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.