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Finding the Third Proportional to 523,924 and 788,946

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Solution

The third proportional to 523,924 and 788,946 is: 1,188,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,924 : 788,946 = 788,946 : x
  2. Step 2: Convert to fraction form
    523,924/788,946 = 788,946/x
  3. Step 3: Cross multiply
    523,924x = 788,946 × 788,946
  4. Step 4: Simplify right side
    523,924x = 622,435,790,916
  5. Step 5: Solve for x
    x = 622,435,790,916/523,924
  6. Step 6: Final answer
    x = 1,188,026.87

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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.