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Finding the Third Proportional to 351,902.50 and 768,313

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Solution

The third proportional to 351,902.50 and 768,313 is: 1,677,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,902.50 : 768,313 = 768,313 : x
  2. Step 2: Convert to fraction form
    351,902.50/768,313 = 768,313/x
  3. Step 3: Cross multiply
    351,902.50x = 768,313 × 768,313
  4. Step 4: Simplify right side
    351,902.50x = 590,304,865,969
  5. Step 5: Solve for x
    x = 590,304,865,969/351,902.50
  6. Step 6: Final answer
    x = 1,677,467.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.