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Finding the Third Proportional to 333,240 and 516,141

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Solution

The third proportional to 333,240 and 516,141 is: 799,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,240 : 516,141 = 516,141 : x
  2. Step 2: Convert to fraction form
    333,240/516,141 = 516,141/x
  3. Step 3: Cross multiply
    333,240x = 516,141 × 516,141
  4. Step 4: Simplify right side
    333,240x = 266,401,531,881
  5. Step 5: Solve for x
    x = 266,401,531,881/333,240
  6. Step 6: Final answer
    x = 799,428.44

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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.