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Finding the Third Proportional to 287,426 and 588,676

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Solution

The third proportional to 287,426 and 588,676 is: 1,205,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,426 : 588,676 = 588,676 : x
  2. Step 2: Convert to fraction form
    287,426/588,676 = 588,676/x
  3. Step 3: Cross multiply
    287,426x = 588,676 × 588,676
  4. Step 4: Simplify right side
    287,426x = 346,539,432,976
  5. Step 5: Solve for x
    x = 346,539,432,976/287,426
  6. Step 6: Final answer
    x = 1,205,664.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.