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Finding the Third Proportional to 294,633 and 441,463

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Solution

The third proportional to 294,633 and 441,463 is: 661,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,633 : 441,463 = 441,463 : x
  2. Step 2: Convert to fraction form
    294,633/441,463 = 441,463/x
  3. Step 3: Cross multiply
    294,633x = 441,463 × 441,463
  4. Step 4: Simplify right side
    294,633x = 194,889,580,369
  5. Step 5: Solve for x
    x = 194,889,580,369/294,633
  6. Step 6: Final answer
    x = 661,465.55

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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.