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Finding the Third Proportional to 410,212 and 620,978

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Solution

The third proportional to 410,212 and 620,978 is: 940,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,212 : 620,978 = 620,978 : x
  2. Step 2: Convert to fraction form
    410,212/620,978 = 620,978/x
  3. Step 3: Cross multiply
    410,212x = 620,978 × 620,978
  4. Step 4: Simplify right side
    410,212x = 385,613,676,484
  5. Step 5: Solve for x
    x = 385,613,676,484/410,212
  6. Step 6: Final answer
    x = 940,035.10

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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.