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Finding the Third Proportional to 534,384 and 852,120

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Solution

The third proportional to 534,384 and 852,120 is: 1,358,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,384 : 852,120 = 852,120 : x
  2. Step 2: Convert to fraction form
    534,384/852,120 = 852,120/x
  3. Step 3: Cross multiply
    534,384x = 852,120 × 852,120
  4. Step 4: Simplify right side
    534,384x = 726,108,494,400
  5. Step 5: Solve for x
    x = 726,108,494,400/534,384
  6. Step 6: Final answer
    x = 1,358,776.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.