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Finding the Third Proportional to 370,539 and 754,200

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Solution

The third proportional to 370,539 and 754,200 is: 1,535,108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,539 : 754,200 = 754,200 : x
  2. Step 2: Convert to fraction form
    370,539/754,200 = 754,200/x
  3. Step 3: Cross multiply
    370,539x = 754,200 × 754,200
  4. Step 4: Simplify right side
    370,539x = 568,817,640,000
  5. Step 5: Solve for x
    x = 568,817,640,000/370,539
  6. Step 6: Final answer
    x = 1,535,108.69

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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.