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Finding the Third Proportional to 233,955 and 507,242

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Solution

The third proportional to 233,955 and 507,242 is: 1,099,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,955 : 507,242 = 507,242 : x
  2. Step 2: Convert to fraction form
    233,955/507,242 = 507,242/x
  3. Step 3: Cross multiply
    233,955x = 507,242 × 507,242
  4. Step 4: Simplify right side
    233,955x = 257,294,446,564
  5. Step 5: Solve for x
    x = 257,294,446,564/233,955
  6. Step 6: Final answer
    x = 1,099,760.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.