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Finding the Third Proportional to 333,723 and 679,038

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Solution

The third proportional to 333,723 and 679,038 is: 1,381,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,723 : 679,038 = 679,038 : x
  2. Step 2: Convert to fraction form
    333,723/679,038 = 679,038/x
  3. Step 3: Cross multiply
    333,723x = 679,038 × 679,038
  4. Step 4: Simplify right side
    333,723x = 461,092,605,444
  5. Step 5: Solve for x
    x = 461,092,605,444/333,723
  6. Step 6: Final answer
    x = 1,381,662.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.