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Finding the Third Proportional to 621,450 and 959,648.50

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Solution

The third proportional to 621,450 and 959,648.50 is: 1,481,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,450 : 959,648.50 = 959,648.50 : x
  2. Step 2: Convert to fraction form
    621,450/959,648.50 = 959,648.50/x
  3. Step 3: Cross multiply
    621,450x = 959,648.50 × 959,648.50
  4. Step 4: Simplify right side
    621,450x = 920,925,243,552.25
  5. Step 5: Solve for x
    x = 920,925,243,552.25/621,450
  6. Step 6: Final answer
    x = 1,481,897.57

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.