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Finding the Third Proportional to 513,559.97 and 798,373.34

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Solution

The third proportional to 513,559.97 and 798,373.34 is: 1,241,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,559.97 : 798,373.34 = 798,373.34 : x
  2. Step 2: Convert to fraction form
    513,559.97/798,373.34 = 798,373.34/x
  3. Step 3: Cross multiply
    513,559.97x = 798,373.34 × 798,373.34
  4. Step 4: Simplify right side
    513,559.97x = 637,399,983,535.97
  5. Step 5: Solve for x
    x = 637,399,983,535.97/513,559.97
  6. Step 6: Final answer
    x = 1,241,140.32

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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.