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Finding the Third Proportional to 255,676 and 597,178

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Solution

The third proportional to 255,676 and 597,178 is: 1,394,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,676 : 597,178 = 597,178 : x
  2. Step 2: Convert to fraction form
    255,676/597,178 = 597,178/x
  3. Step 3: Cross multiply
    255,676x = 597,178 × 597,178
  4. Step 4: Simplify right side
    255,676x = 356,621,563,684
  5. Step 5: Solve for x
    x = 356,621,563,684/255,676
  6. Step 6: Final answer
    x = 1,394,818.30

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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.