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Finding the Third Proportional to 252,430 and 552,378

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Solution

The third proportional to 252,430 and 552,378 is: 1,208,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,430 : 552,378 = 552,378 : x
  2. Step 2: Convert to fraction form
    252,430/552,378 = 552,378/x
  3. Step 3: Cross multiply
    252,430x = 552,378 × 552,378
  4. Step 4: Simplify right side
    252,430x = 305,121,454,884
  5. Step 5: Solve for x
    x = 305,121,454,884/252,430
  6. Step 6: Final answer
    x = 1,208,736.90

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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.