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Finding the Third Proportional to 353,284 and 765,284

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Solution

The third proportional to 353,284 and 765,284 is: 1,657,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,284 : 765,284 = 765,284 : x
  2. Step 2: Convert to fraction form
    353,284/765,284 = 765,284/x
  3. Step 3: Cross multiply
    353,284x = 765,284 × 765,284
  4. Step 4: Simplify right side
    353,284x = 585,659,600,656
  5. Step 5: Solve for x
    x = 585,659,600,656/353,284
  6. Step 6: Final answer
    x = 1,657,758.63

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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.