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Finding the Third Proportional to 233,433 and 512,253

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Solution

The third proportional to 233,433 and 512,253 is: 1,124,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,433 : 512,253 = 512,253 : x
  2. Step 2: Convert to fraction form
    233,433/512,253 = 512,253/x
  3. Step 3: Cross multiply
    233,433x = 512,253 × 512,253
  4. Step 4: Simplify right side
    233,433x = 262,403,136,009
  5. Step 5: Solve for x
    x = 262,403,136,009/233,433
  6. Step 6: Final answer
    x = 1,124,104.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.