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Finding the Third Proportional to 541,594.50 and 757,146

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Solution

The third proportional to 541,594.50 and 757,146 is: 1,058,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,594.50 : 757,146 = 757,146 : x
  2. Step 2: Convert to fraction form
    541,594.50/757,146 = 757,146/x
  3. Step 3: Cross multiply
    541,594.50x = 757,146 × 757,146
  4. Step 4: Simplify right side
    541,594.50x = 573,270,065,316
  5. Step 5: Solve for x
    x = 573,270,065,316/541,594.50
  6. Step 6: Final answer
    x = 1,058,485.76

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