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Finding the Third Proportional to 275,628 and 374,064.75

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Solution

The third proportional to 275,628 and 374,064.75 is: 507,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,628 : 374,064.75 = 374,064.75 : x
  2. Step 2: Convert to fraction form
    275,628/374,064.75 = 374,064.75/x
  3. Step 3: Cross multiply
    275,628x = 374,064.75 × 374,064.75
  4. Step 4: Simplify right side
    275,628x = 139,924,437,192.56
  5. Step 5: Solve for x
    x = 139,924,437,192.56/275,628
  6. Step 6: Final answer
    x = 507,656.83

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.