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Finding the Third Proportional to 336,120 and 735,174

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Solution

The third proportional to 336,120 and 735,174 is: 1,607,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,120 : 735,174 = 735,174 : x
  2. Step 2: Convert to fraction form
    336,120/735,174 = 735,174/x
  3. Step 3: Cross multiply
    336,120x = 735,174 × 735,174
  4. Step 4: Simplify right side
    336,120x = 540,480,810,276
  5. Step 5: Solve for x
    x = 540,480,810,276/336,120
  6. Step 6: Final answer
    x = 1,607,999.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.