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Finding the Third Proportional to 541,572 and 757,112

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Solution

The third proportional to 541,572 and 757,112 is: 1,058,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,572 : 757,112 = 757,112 : x
  2. Step 2: Convert to fraction form
    541,572/757,112 = 757,112/x
  3. Step 3: Cross multiply
    541,572x = 757,112 × 757,112
  4. Step 4: Simplify right side
    541,572x = 573,218,580,544
  5. Step 5: Solve for x
    x = 573,218,580,544/541,572
  6. Step 6: Final answer
    x = 1,058,434.67

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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.