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Finding the Third Proportional to 523,927 and 788,951

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Solution

The third proportional to 523,927 and 788,951 is: 1,188,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,927 : 788,951 = 788,951 : x
  2. Step 2: Convert to fraction form
    523,927/788,951 = 788,951/x
  3. Step 3: Cross multiply
    523,927x = 788,951 × 788,951
  4. Step 4: Simplify right side
    523,927x = 622,443,680,401
  5. Step 5: Solve for x
    x = 622,443,680,401/523,927
  6. Step 6: Final answer
    x = 1,188,035.13

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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.