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Finding the Third Proportional to 512,739.50 and 795,988

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Solution

The third proportional to 512,739.50 and 795,988 is: 1,235,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,739.50 : 795,988 = 795,988 : x
  2. Step 2: Convert to fraction form
    512,739.50/795,988 = 795,988/x
  3. Step 3: Cross multiply
    512,739.50x = 795,988 × 795,988
  4. Step 4: Simplify right side
    512,739.50x = 633,596,896,144
  5. Step 5: Solve for x
    x = 633,596,896,144/512,739.50
  6. Step 6: Final answer
    x = 1,235,709.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.