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Finding the Third Proportional to 246,719 and 512,829

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Solution

The third proportional to 246,719 and 512,829 is: 1,065,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,719 : 512,829 = 512,829 : x
  2. Step 2: Convert to fraction form
    246,719/512,829 = 512,829/x
  3. Step 3: Cross multiply
    246,719x = 512,829 × 512,829
  4. Step 4: Simplify right side
    246,719x = 262,993,583,241
  5. Step 5: Solve for x
    x = 262,993,583,241/246,719
  6. Step 6: Final answer
    x = 1,065,964.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.