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Finding the Third Proportional to 491,332 and 751,110

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Solution

The third proportional to 491,332 and 751,110 is: 1,148,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,332 : 751,110 = 751,110 : x
  2. Step 2: Convert to fraction form
    491,332/751,110 = 751,110/x
  3. Step 3: Cross multiply
    491,332x = 751,110 × 751,110
  4. Step 4: Simplify right side
    491,332x = 564,166,232,100
  5. Step 5: Solve for x
    x = 564,166,232,100/491,332
  6. Step 6: Final answer
    x = 1,148,238.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.