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Finding the Third Proportional to 336,900 and 732,036

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Solution

The third proportional to 336,900 and 732,036 is: 1,590,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,900 : 732,036 = 732,036 : x
  2. Step 2: Convert to fraction form
    336,900/732,036 = 732,036/x
  3. Step 3: Cross multiply
    336,900x = 732,036 × 732,036
  4. Step 4: Simplify right side
    336,900x = 535,876,705,296
  5. Step 5: Solve for x
    x = 535,876,705,296/336,900
  6. Step 6: Final answer
    x = 1,590,610.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.