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Finding the Third Proportional to 409,752.75 and 620,343

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Solution

The third proportional to 409,752.75 and 620,343 is: 939,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,752.75 : 620,343 = 620,343 : x
  2. Step 2: Convert to fraction form
    409,752.75/620,343 = 620,343/x
  3. Step 3: Cross multiply
    409,752.75x = 620,343 × 620,343
  4. Step 4: Simplify right side
    409,752.75x = 384,825,437,649
  5. Step 5: Solve for x
    x = 384,825,437,649/409,752.75
  6. Step 6: Final answer
    x = 939,164.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.