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Finding the Third Proportional to 333,256 and 715,760

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Solution

The third proportional to 333,256 and 715,760 is: 1,537,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,256 : 715,760 = 715,760 : x
  2. Step 2: Convert to fraction form
    333,256/715,760 = 715,760/x
  3. Step 3: Cross multiply
    333,256x = 715,760 × 715,760
  4. Step 4: Simplify right side
    333,256x = 512,312,377,600
  5. Step 5: Solve for x
    x = 512,312,377,600/333,256
  6. Step 6: Final answer
    x = 1,537,293.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.