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Finding the Third Proportional to 508,186 and 743,178

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Solution

The third proportional to 508,186 and 743,178 is: 1,086,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,186 : 743,178 = 743,178 : x
  2. Step 2: Convert to fraction form
    508,186/743,178 = 743,178/x
  3. Step 3: Cross multiply
    508,186x = 743,178 × 743,178
  4. Step 4: Simplify right side
    508,186x = 552,313,539,684
  5. Step 5: Solve for x
    x = 552,313,539,684/508,186
  6. Step 6: Final answer
    x = 1,086,833.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.