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Finding the Third Proportional to 291,114 and 636,536

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Solution

The third proportional to 291,114 and 636,536 is: 1,391,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,114 : 636,536 = 636,536 : x
  2. Step 2: Convert to fraction form
    291,114/636,536 = 636,536/x
  3. Step 3: Cross multiply
    291,114x = 636,536 × 636,536
  4. Step 4: Simplify right side
    291,114x = 405,178,079,296
  5. Step 5: Solve for x
    x = 405,178,079,296/291,114
  6. Step 6: Final answer
    x = 1,391,819.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.