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Finding the Third Proportional to 295,614 and 441,477

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Solution

The third proportional to 295,614 and 441,477 is: 659,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,614 : 441,477 = 441,477 : x
  2. Step 2: Convert to fraction form
    295,614/441,477 = 441,477/x
  3. Step 3: Cross multiply
    295,614x = 441,477 × 441,477
  4. Step 4: Simplify right side
    295,614x = 194,901,941,529
  5. Step 5: Solve for x
    x = 194,901,941,529/295,614
  6. Step 6: Final answer
    x = 659,312.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.