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Finding the Third Proportional to 351,013.50 and 758,025

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Solution

The third proportional to 351,013.50 and 758,025 is: 1,636,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,013.50 : 758,025 = 758,025 : x
  2. Step 2: Convert to fraction form
    351,013.50/758,025 = 758,025/x
  3. Step 3: Cross multiply
    351,013.50x = 758,025 × 758,025
  4. Step 4: Simplify right side
    351,013.50x = 574,601,900,625
  5. Step 5: Solve for x
    x = 574,601,900,625/351,013.50
  6. Step 6: Final answer
    x = 1,636,979.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.