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Finding the Third Proportional to 253,542 and 389,748

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Solution

The third proportional to 253,542 and 389,748 is: 599,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,542 : 389,748 = 389,748 : x
  2. Step 2: Convert to fraction form
    253,542/389,748 = 389,748/x
  3. Step 3: Cross multiply
    253,542x = 389,748 × 389,748
  4. Step 4: Simplify right side
    253,542x = 151,903,503,504
  5. Step 5: Solve for x
    x = 151,903,503,504/253,542
  6. Step 6: Final answer
    x = 599,125.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.