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Finding the Third Proportional to 523,925 and 788,948

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Solution

The third proportional to 523,925 and 788,948 is: 1,188,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,925 : 788,948 = 788,948 : x
  2. Step 2: Convert to fraction form
    523,925/788,948 = 788,948/x
  3. Step 3: Cross multiply
    523,925x = 788,948 × 788,948
  4. Step 4: Simplify right side
    523,925x = 622,438,946,704
  5. Step 5: Solve for x
    x = 622,438,946,704/523,925
  6. Step 6: Final answer
    x = 1,188,030.63

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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.