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Finding the Third Proportional to 498,186 and 753,174

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Solution

The third proportional to 498,186 and 753,174 is: 1,138,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,186 : 753,174 = 753,174 : x
  2. Step 2: Convert to fraction form
    498,186/753,174 = 753,174/x
  3. Step 3: Cross multiply
    498,186x = 753,174 × 753,174
  4. Step 4: Simplify right side
    498,186x = 567,271,074,276
  5. Step 5: Solve for x
    x = 567,271,074,276/498,186
  6. Step 6: Final answer
    x = 1,138,673.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.