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Finding the Third Proportional to 333,849 and 721,155

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Solution

The third proportional to 333,849 and 721,155 is: 1,557,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,849 : 721,155 = 721,155 : x
  2. Step 2: Convert to fraction form
    333,849/721,155 = 721,155/x
  3. Step 3: Cross multiply
    333,849x = 721,155 × 721,155
  4. Step 4: Simplify right side
    333,849x = 520,064,534,025
  5. Step 5: Solve for x
    x = 520,064,534,025/333,849
  6. Step 6: Final answer
    x = 1,557,783.71

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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.