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Finding the Third Proportional to 523,920 and 788,940

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Solution

The third proportional to 523,920 and 788,940 is: 1,188,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,920 : 788,940 = 788,940 : x
  2. Step 2: Convert to fraction form
    523,920/788,940 = 788,940/x
  3. Step 3: Cross multiply
    523,920x = 788,940 × 788,940
  4. Step 4: Simplify right side
    523,920x = 622,426,323,600
  5. Step 5: Solve for x
    x = 622,426,323,600/523,920
  6. Step 6: Final answer
    x = 1,188,017.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.