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Finding the Third Proportional to 246,713.50 and 512,820

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Solution

The third proportional to 246,713.50 and 512,820 is: 1,065,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,713.50 : 512,820 = 512,820 : x
  2. Step 2: Convert to fraction form
    246,713.50/512,820 = 512,820/x
  3. Step 3: Cross multiply
    246,713.50x = 512,820 × 512,820
  4. Step 4: Simplify right side
    246,713.50x = 262,984,352,400
  5. Step 5: Solve for x
    x = 262,984,352,400/246,713.50
  6. Step 6: Final answer
    x = 1,065,950.39

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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.