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Finding the Third Proportional to 508,066 and 743,026

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Solution

The third proportional to 508,066 and 743,026 is: 1,086,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,066 : 743,026 = 743,026 : x
  2. Step 2: Convert to fraction form
    508,066/743,026 = 743,026/x
  3. Step 3: Cross multiply
    508,066x = 743,026 × 743,026
  4. Step 4: Simplify right side
    508,066x = 552,087,636,676
  5. Step 5: Solve for x
    x = 552,087,636,676/508,066
  6. Step 6: Final answer
    x = 1,086,645.51

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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.