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Finding the Third Proportional to 337,532 and 720,263

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Solution

The third proportional to 337,532 and 720,263 is: 1,536,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,532 : 720,263 = 720,263 : x
  2. Step 2: Convert to fraction form
    337,532/720,263 = 720,263/x
  3. Step 3: Cross multiply
    337,532x = 720,263 × 720,263
  4. Step 4: Simplify right side
    337,532x = 518,778,789,169
  5. Step 5: Solve for x
    x = 518,778,789,169/337,532
  6. Step 6: Final answer
    x = 1,536,976.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.