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Finding the Third Proportional to 523,964 and 788,997

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Solution

The third proportional to 523,964 and 788,997 is: 1,188,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,964 : 788,997 = 788,997 : x
  2. Step 2: Convert to fraction form
    523,964/788,997 = 788,997/x
  3. Step 3: Cross multiply
    523,964x = 788,997 × 788,997
  4. Step 4: Simplify right side
    523,964x = 622,516,266,009
  5. Step 5: Solve for x
    x = 622,516,266,009/523,964
  6. Step 6: Final answer
    x = 1,188,089.77

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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.