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Finding the Third Proportional to 492,176 and 771,068

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Solution

The third proportional to 492,176 and 771,068 is: 1,207,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,176 : 771,068 = 771,068 : x
  2. Step 2: Convert to fraction form
    492,176/771,068 = 771,068/x
  3. Step 3: Cross multiply
    492,176x = 771,068 × 771,068
  4. Step 4: Simplify right side
    492,176x = 594,545,860,624
  5. Step 5: Solve for x
    x = 594,545,860,624/492,176
  6. Step 6: Final answer
    x = 1,207,994.42

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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.