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Finding the Third Proportional to 357,714 and 738,108

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Solution

The third proportional to 357,714 and 738,108 is: 1,523,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,714 : 738,108 = 738,108 : x
  2. Step 2: Convert to fraction form
    357,714/738,108 = 738,108/x
  3. Step 3: Cross multiply
    357,714x = 738,108 × 738,108
  4. Step 4: Simplify right side
    357,714x = 544,803,419,664
  5. Step 5: Solve for x
    x = 544,803,419,664/357,714
  6. Step 6: Final answer
    x = 1,523,013.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.