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Finding the Third Proportional to 473,908.50 and 614,796.75

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Solution

The third proportional to 473,908.50 and 614,796.75 is: 797,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,908.50 : 614,796.75 = 614,796.75 : x
  2. Step 2: Convert to fraction form
    473,908.50/614,796.75 = 614,796.75/x
  3. Step 3: Cross multiply
    473,908.50x = 614,796.75 × 614,796.75
  4. Step 4: Simplify right side
    473,908.50x = 377,975,043,810.56
  5. Step 5: Solve for x
    x = 377,975,043,810.56/473,908.50
  6. Step 6: Final answer
    x = 797,569.67

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.