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Finding the Third Proportional to 297,011 and 393,841

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Solution

The third proportional to 297,011 and 393,841 is: 522,239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,011 : 393,841 = 393,841 : x
  2. Step 2: Convert to fraction form
    297,011/393,841 = 393,841/x
  3. Step 3: Cross multiply
    297,011x = 393,841 × 393,841
  4. Step 4: Simplify right side
    297,011x = 155,110,733,281
  5. Step 5: Solve for x
    x = 155,110,733,281/297,011
  6. Step 6: Final answer
    x = 522,239.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.