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Finding the Third Proportional to 255,186 and 596,042

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Solution

The third proportional to 255,186 and 596,042 is: 1,392,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,186 : 596,042 = 596,042 : x
  2. Step 2: Convert to fraction form
    255,186/596,042 = 596,042/x
  3. Step 3: Cross multiply
    255,186x = 596,042 × 596,042
  4. Step 4: Simplify right side
    255,186x = 355,266,065,764
  5. Step 5: Solve for x
    x = 355,266,065,764/255,186
  6. Step 6: Final answer
    x = 1,392,184.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.