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Finding the Third Proportional to 333,150 and 728,436

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Solution

The third proportional to 333,150 and 728,436 is: 1,592,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,150 : 728,436 = 728,436 : x
  2. Step 2: Convert to fraction form
    333,150/728,436 = 728,436/x
  3. Step 3: Cross multiply
    333,150x = 728,436 × 728,436
  4. Step 4: Simplify right side
    333,150x = 530,619,006,096
  5. Step 5: Solve for x
    x = 530,619,006,096/333,150
  6. Step 6: Final answer
    x = 1,592,733.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.