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Finding the Third Proportional to 376,844 and 808,284

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Solution

The third proportional to 376,844 and 808,284 is: 1,733,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,844 : 808,284 = 808,284 : x
  2. Step 2: Convert to fraction form
    376,844/808,284 = 808,284/x
  3. Step 3: Cross multiply
    376,844x = 808,284 × 808,284
  4. Step 4: Simplify right side
    376,844x = 653,323,024,656
  5. Step 5: Solve for x
    x = 653,323,024,656/376,844
  6. Step 6: Final answer
    x = 1,733,669.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.