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Finding the Third Proportional to 714,341 and 972,799

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Solution

The third proportional to 714,341 and 972,799 is: 1,324,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,341 : 972,799 = 972,799 : x
  2. Step 2: Convert to fraction form
    714,341/972,799 = 972,799/x
  3. Step 3: Cross multiply
    714,341x = 972,799 × 972,799
  4. Step 4: Simplify right side
    714,341x = 946,337,894,401
  5. Step 5: Solve for x
    x = 946,337,894,401/714,341
  6. Step 6: Final answer
    x = 1,324,770.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.