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Finding the Third Proportional to 333,006 and 728,220

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Solution

The third proportional to 333,006 and 728,220 is: 1,592,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,006 : 728,220 = 728,220 : x
  2. Step 2: Convert to fraction form
    333,006/728,220 = 728,220/x
  3. Step 3: Cross multiply
    333,006x = 728,220 × 728,220
  4. Step 4: Simplify right side
    333,006x = 530,304,368,400
  5. Step 5: Solve for x
    x = 530,304,368,400/333,006
  6. Step 6: Final answer
    x = 1,592,476.92

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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.