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Finding the Third Proportional to 333,204 and 719,628

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Solution

The third proportional to 333,204 and 719,628 is: 1,554,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,204 : 719,628 = 719,628 : x
  2. Step 2: Convert to fraction form
    333,204/719,628 = 719,628/x
  3. Step 3: Cross multiply
    333,204x = 719,628 × 719,628
  4. Step 4: Simplify right side
    333,204x = 517,864,458,384
  5. Step 5: Solve for x
    x = 517,864,458,384/333,204
  6. Step 6: Final answer
    x = 1,554,196.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.