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Finding the Third Proportional to 344,165 and 738,151

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Solution

The third proportional to 344,165 and 738,151 is: 1,583,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,165 : 738,151 = 738,151 : x
  2. Step 2: Convert to fraction form
    344,165/738,151 = 738,151/x
  3. Step 3: Cross multiply
    344,165x = 738,151 × 738,151
  4. Step 4: Simplify right side
    344,165x = 544,866,898,801
  5. Step 5: Solve for x
    x = 544,866,898,801/344,165
  6. Step 6: Final answer
    x = 1,583,156.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.