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Finding the Third Proportional to 370,536 and 754,164

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Solution

The third proportional to 370,536 and 754,164 is: 1,534,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,536 : 754,164 = 754,164 : x
  2. Step 2: Convert to fraction form
    370,536/754,164 = 754,164/x
  3. Step 3: Cross multiply
    370,536x = 754,164 × 754,164
  4. Step 4: Simplify right side
    370,536x = 568,763,338,896
  5. Step 5: Solve for x
    x = 568,763,338,896/370,536
  6. Step 6: Final answer
    x = 1,534,974.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.