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Finding the Third Proportional to 351,010.13 and 521,353.13

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Solution

The third proportional to 351,010.13 and 521,353.13 is: 774,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,010.13 : 521,353.13 = 521,353.13 : x
  2. Step 2: Convert to fraction form
    351,010.13/521,353.13 = 521,353.13/x
  3. Step 3: Cross multiply
    351,010.13x = 521,353.13 × 521,353.13
  4. Step 4: Simplify right side
    351,010.13x = 271,809,080,947.27
  5. Step 5: Solve for x
    x = 271,809,080,947.27/351,010.13
  6. Step 6: Final answer
    x = 774,362.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.