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Finding the Third Proportional to 355,200 and 755,600

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Solution

The third proportional to 355,200 and 755,600 is: 1,607,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,200 : 755,600 = 755,600 : x
  2. Step 2: Convert to fraction form
    355,200/755,600 = 755,600/x
  3. Step 3: Cross multiply
    355,200x = 755,600 × 755,600
  4. Step 4: Simplify right side
    355,200x = 570,931,360,000
  5. Step 5: Solve for x
    x = 570,931,360,000/355,200
  6. Step 6: Final answer
    x = 1,607,351.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.