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Finding the Third Proportional to 337,118 and 724,263

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Solution

The third proportional to 337,118 and 724,263 is: 1,556,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,118 : 724,263 = 724,263 : x
  2. Step 2: Convert to fraction form
    337,118/724,263 = 724,263/x
  3. Step 3: Cross multiply
    337,118x = 724,263 × 724,263
  4. Step 4: Simplify right side
    337,118x = 524,556,893,169
  5. Step 5: Solve for x
    x = 524,556,893,169/337,118
  6. Step 6: Final answer
    x = 1,556,003.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.