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Finding the Third Proportional to 337,738 and 527,055

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Solution

The third proportional to 337,738 and 527,055 is: 822,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,738 : 527,055 = 527,055 : x
  2. Step 2: Convert to fraction form
    337,738/527,055 = 527,055/x
  3. Step 3: Cross multiply
    337,738x = 527,055 × 527,055
  4. Step 4: Simplify right side
    337,738x = 277,786,973,025
  5. Step 5: Solve for x
    x = 277,786,973,025/337,738
  6. Step 6: Final answer
    x = 822,492.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.