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Finding the Third Proportional to 408,943 and 620,772

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Solution

The third proportional to 408,943 and 620,772 is: 942,326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,943 : 620,772 = 620,772 : x
  2. Step 2: Convert to fraction form
    408,943/620,772 = 620,772/x
  3. Step 3: Cross multiply
    408,943x = 620,772 × 620,772
  4. Step 4: Simplify right side
    408,943x = 385,357,875,984
  5. Step 5: Solve for x
    x = 385,357,875,984/408,943
  6. Step 6: Final answer
    x = 942,326.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.