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Finding the Third Proportional to 492,180 and 771,074

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Solution

The third proportional to 492,180 and 771,074 is: 1,208,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,180 : 771,074 = 771,074 : x
  2. Step 2: Convert to fraction form
    492,180/771,074 = 771,074/x
  3. Step 3: Cross multiply
    492,180x = 771,074 × 771,074
  4. Step 4: Simplify right side
    492,180x = 594,555,113,476
  5. Step 5: Solve for x
    x = 594,555,113,476/492,180
  6. Step 6: Final answer
    x = 1,208,003.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.