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Finding the Third Proportional to 344,288 and 754,936

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Solution

The third proportional to 344,288 and 754,936 is: 1,655,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,288 : 754,936 = 754,936 : x
  2. Step 2: Convert to fraction form
    344,288/754,936 = 754,936/x
  3. Step 3: Cross multiply
    344,288x = 754,936 × 754,936
  4. Step 4: Simplify right side
    344,288x = 569,928,364,096
  5. Step 5: Solve for x
    x = 569,928,364,096/344,288
  6. Step 6: Final answer
    x = 1,655,382.60

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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.