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Finding the Third Proportional to 294,840 and 441,797.63

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Solution

The third proportional to 294,840 and 441,797.63 is: 662,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,840 : 441,797.63 = 441,797.63 : x
  2. Step 2: Convert to fraction form
    294,840/441,797.63 = 441,797.63/x
  3. Step 3: Cross multiply
    294,840x = 441,797.63 × 441,797.63
  4. Step 4: Simplify right side
    294,840x = 195,185,141,455.64
  5. Step 5: Solve for x
    x = 195,185,141,455.64/294,840
  6. Step 6: Final answer
    x = 662,003.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.