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Finding the Third Proportional to 237,000.75 and 507,216.75

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Solution

The third proportional to 237,000.75 and 507,216.75 is: 1,085,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,000.75 : 507,216.75 = 507,216.75 : x
  2. Step 2: Convert to fraction form
    237,000.75/507,216.75 = 507,216.75/x
  3. Step 3: Cross multiply
    237,000.75x = 507,216.75 × 507,216.75
  4. Step 4: Simplify right side
    237,000.75x = 257,268,831,480.56
  5. Step 5: Solve for x
    x = 257,268,831,480.56/237,000.75
  6. Step 6: Final answer
    x = 1,085,519.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.