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Finding the Third Proportional to 333,123 and 536,476

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Solution

The third proportional to 333,123 and 536,476 is: 863,964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,123 : 536,476 = 536,476 : x
  2. Step 2: Convert to fraction form
    333,123/536,476 = 536,476/x
  3. Step 3: Cross multiply
    333,123x = 536,476 × 536,476
  4. Step 4: Simplify right side
    333,123x = 287,806,498,576
  5. Step 5: Solve for x
    x = 287,806,498,576/333,123
  6. Step 6: Final answer
    x = 863,964.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.