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Finding the Third Proportional to 441,438 and 663,507

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Solution

The third proportional to 441,438 and 663,507 is: 997,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,438 : 663,507 = 663,507 : x
  2. Step 2: Convert to fraction form
    441,438/663,507 = 663,507/x
  3. Step 3: Cross multiply
    441,438x = 663,507 × 663,507
  4. Step 4: Simplify right side
    441,438x = 440,241,539,049
  5. Step 5: Solve for x
    x = 440,241,539,049/441,438
  6. Step 6: Final answer
    x = 997,289.63

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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.