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Finding the Third Proportional to 429,082 and 636,291

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Solution

The third proportional to 429,082 and 636,291 is: 943,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,082 : 636,291 = 636,291 : x
  2. Step 2: Convert to fraction form
    429,082/636,291 = 636,291/x
  3. Step 3: Cross multiply
    429,082x = 636,291 × 636,291
  4. Step 4: Simplify right side
    429,082x = 404,866,236,681
  5. Step 5: Solve for x
    x = 404,866,236,681/429,082
  6. Step 6: Final answer
    x = 943,563.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.