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Finding the Third Proportional to 333,576 and 491,541

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Solution

The third proportional to 333,576 and 491,541 is: 724,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,576 : 491,541 = 491,541 : x
  2. Step 2: Convert to fraction form
    333,576/491,541 = 491,541/x
  3. Step 3: Cross multiply
    333,576x = 491,541 × 491,541
  4. Step 4: Simplify right side
    333,576x = 241,612,554,681
  5. Step 5: Solve for x
    x = 241,612,554,681/333,576
  6. Step 6: Final answer
    x = 724,310.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.