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Finding the Third Proportional to 541,590 and 757,138

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Solution

The third proportional to 541,590 and 757,138 is: 1,058,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,590 : 757,138 = 757,138 : x
  2. Step 2: Convert to fraction form
    541,590/757,138 = 757,138/x
  3. Step 3: Cross multiply
    541,590x = 757,138 × 757,138
  4. Step 4: Simplify right side
    541,590x = 573,257,951,044
  5. Step 5: Solve for x
    x = 573,257,951,044/541,590
  6. Step 6: Final answer
    x = 1,058,472.19

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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.