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Finding the Third Proportional to 450,532 and 629,870

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Solution

The third proportional to 450,532 and 629,870 is: 880,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,532 : 629,870 = 629,870 : x
  2. Step 2: Convert to fraction form
    450,532/629,870 = 629,870/x
  3. Step 3: Cross multiply
    450,532x = 629,870 × 629,870
  4. Step 4: Simplify right side
    450,532x = 396,736,216,900
  5. Step 5: Solve for x
    x = 396,736,216,900/450,532
  6. Step 6: Final answer
    x = 880,594.98

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.