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Finding the Third Proportional to 233,302 and 546,317

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Solution

The third proportional to 233,302 and 546,317 is: 1,279,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,302 : 546,317 = 546,317 : x
  2. Step 2: Convert to fraction form
    233,302/546,317 = 546,317/x
  3. Step 3: Cross multiply
    233,302x = 546,317 × 546,317
  4. Step 4: Simplify right side
    233,302x = 298,462,264,489
  5. Step 5: Solve for x
    x = 298,462,264,489/233,302
  6. Step 6: Final answer
    x = 1,279,295.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.