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Finding the Third Proportional to 513,141.75 and 794,620.13

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Solution

The third proportional to 513,141.75 and 794,620.13 is: 1,230,500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,141.75 : 794,620.13 = 794,620.13 : x
  2. Step 2: Convert to fraction form
    513,141.75/794,620.13 = 794,620.13/x
  3. Step 3: Cross multiply
    513,141.75x = 794,620.13 × 794,620.13
  4. Step 4: Simplify right side
    513,141.75x = 631,421,143,055.02
  5. Step 5: Solve for x
    x = 631,421,143,055.02/513,141.75
  6. Step 6: Final answer
    x = 1,230,500.43

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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.