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Finding the Third Proportional to 337,191 and 522,071

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Solution

The third proportional to 337,191 and 522,071 is: 808,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,191 : 522,071 = 522,071 : x
  2. Step 2: Convert to fraction form
    337,191/522,071 = 522,071/x
  3. Step 3: Cross multiply
    337,191x = 522,071 × 522,071
  4. Step 4: Simplify right side
    337,191x = 272,558,129,041
  5. Step 5: Solve for x
    x = 272,558,129,041/337,191
  6. Step 6: Final answer
    x = 808,319.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.