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Finding the Third Proportional to 370,546 and 754,214

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Solution

The third proportional to 370,546 and 754,214 is: 1,535,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,546 : 754,214 = 754,214 : x
  2. Step 2: Convert to fraction form
    370,546/754,214 = 754,214/x
  3. Step 3: Cross multiply
    370,546x = 754,214 × 754,214
  4. Step 4: Simplify right side
    370,546x = 568,838,757,796
  5. Step 5: Solve for x
    x = 568,838,757,796/370,546
  6. Step 6: Final answer
    x = 1,535,136.68

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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.