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Finding the Third Proportional to 252,284 and 379,488

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Solution

The third proportional to 252,284 and 379,488 is: 570,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,284 : 379,488 = 379,488 : x
  2. Step 2: Convert to fraction form
    252,284/379,488 = 379,488/x
  3. Step 3: Cross multiply
    252,284x = 379,488 × 379,488
  4. Step 4: Simplify right side
    252,284x = 144,011,142,144
  5. Step 5: Solve for x
    x = 144,011,142,144/252,284
  6. Step 6: Final answer
    x = 570,829.47

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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.