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Finding the Third Proportional to 333,780 and 724,188

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Solution

The third proportional to 333,780 and 724,188 is: 1,571,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,780 : 724,188 = 724,188 : x
  2. Step 2: Convert to fraction form
    333,780/724,188 = 724,188/x
  3. Step 3: Cross multiply
    333,780x = 724,188 × 724,188
  4. Step 4: Simplify right side
    333,780x = 524,448,259,344
  5. Step 5: Solve for x
    x = 524,448,259,344/333,780
  6. Step 6: Final answer
    x = 1,571,239.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.