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Finding the Third Proportional to 273,350 and 599,341

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Solution

The third proportional to 273,350 and 599,341 is: 1,314,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,350 : 599,341 = 599,341 : x
  2. Step 2: Convert to fraction form
    273,350/599,341 = 599,341/x
  3. Step 3: Cross multiply
    273,350x = 599,341 × 599,341
  4. Step 4: Simplify right side
    273,350x = 359,209,634,281
  5. Step 5: Solve for x
    x = 359,209,634,281/273,350
  6. Step 6: Final answer
    x = 1,314,101.46

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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.