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Finding the Third Proportional to 333,633 and 517,040.25

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Solution

The third proportional to 333,633 and 517,040.25 is: 801,271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,633 : 517,040.25 = 517,040.25 : x
  2. Step 2: Convert to fraction form
    333,633/517,040.25 = 517,040.25/x
  3. Step 3: Cross multiply
    333,633x = 517,040.25 × 517,040.25
  4. Step 4: Simplify right side
    333,633x = 267,330,620,120.06
  5. Step 5: Solve for x
    x = 267,330,620,120.06/333,633
  6. Step 6: Final answer
    x = 801,271.52

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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.