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Finding the Third Proportional to 310,537.75 and 467,361

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Solution

The third proportional to 310,537.75 and 467,361 is: 703,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,537.75 : 467,361 = 467,361 : x
  2. Step 2: Convert to fraction form
    310,537.75/467,361 = 467,361/x
  3. Step 3: Cross multiply
    310,537.75x = 467,361 × 467,361
  4. Step 4: Simplify right side
    310,537.75x = 218,426,304,321
  5. Step 5: Solve for x
    x = 218,426,304,321/310,537.75
  6. Step 6: Final answer
    x = 703,380.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.