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Finding the Third Proportional to 252,280 and 379,484

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Solution

The third proportional to 252,280 and 379,484 is: 570,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,280 : 379,484 = 379,484 : x
  2. Step 2: Convert to fraction form
    252,280/379,484 = 379,484/x
  3. Step 3: Cross multiply
    252,280x = 379,484 × 379,484
  4. Step 4: Simplify right side
    252,280x = 144,008,106,256
  5. Step 5: Solve for x
    x = 144,008,106,256/252,280
  6. Step 6: Final answer
    x = 570,826.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.