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Finding the Third Proportional to 366,072 and 545,896

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Solution

The third proportional to 366,072 and 545,896 is: 814,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,072 : 545,896 = 545,896 : x
  2. Step 2: Convert to fraction form
    366,072/545,896 = 545,896/x
  3. Step 3: Cross multiply
    366,072x = 545,896 × 545,896
  4. Step 4: Simplify right side
    366,072x = 298,002,442,816
  5. Step 5: Solve for x
    x = 298,002,442,816/366,072
  6. Step 6: Final answer
    x = 814,054.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.