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Finding the Third Proportional to 382,416 and 840,284

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Solution

The third proportional to 382,416 and 840,284 is: 1,846,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,416 : 840,284 = 840,284 : x
  2. Step 2: Convert to fraction form
    382,416/840,284 = 840,284/x
  3. Step 3: Cross multiply
    382,416x = 840,284 × 840,284
  4. Step 4: Simplify right side
    382,416x = 706,077,200,656
  5. Step 5: Solve for x
    x = 706,077,200,656/382,416
  6. Step 6: Final answer
    x = 1,846,358.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.