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Finding the Third Proportional to 291,246 and 441,379

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Solution

The third proportional to 291,246 and 441,379 is: 668,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,246 : 441,379 = 441,379 : x
  2. Step 2: Convert to fraction form
    291,246/441,379 = 441,379/x
  3. Step 3: Cross multiply
    291,246x = 441,379 × 441,379
  4. Step 4: Simplify right side
    291,246x = 194,815,421,641
  5. Step 5: Solve for x
    x = 194,815,421,641/291,246
  6. Step 6: Final answer
    x = 668,903.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.