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Finding the Third Proportional to 449,522 and 632,329

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Solution

The third proportional to 449,522 and 632,329 is: 889,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,522 : 632,329 = 632,329 : x
  2. Step 2: Convert to fraction form
    449,522/632,329 = 632,329/x
  3. Step 3: Cross multiply
    449,522x = 632,329 × 632,329
  4. Step 4: Simplify right side
    449,522x = 399,839,964,241
  5. Step 5: Solve for x
    x = 399,839,964,241/449,522
  6. Step 6: Final answer
    x = 889,478.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.