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Finding the Third Proportional to 333,242 and 516,145

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Solution

The third proportional to 333,242 and 516,145 is: 799,436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,242 : 516,145 = 516,145 : x
  2. Step 2: Convert to fraction form
    333,242/516,145 = 516,145/x
  3. Step 3: Cross multiply
    333,242x = 516,145 × 516,145
  4. Step 4: Simplify right side
    333,242x = 266,405,661,025
  5. Step 5: Solve for x
    x = 266,405,661,025/333,242
  6. Step 6: Final answer
    x = 799,436.03

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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.