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Finding the Third Proportional to 397,176.75 and 606,156.75

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Solution

The third proportional to 397,176.75 and 606,156.75 is: 925,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,176.75 : 606,156.75 = 606,156.75 : x
  2. Step 2: Convert to fraction form
    397,176.75/606,156.75 = 606,156.75/x
  3. Step 3: Cross multiply
    397,176.75x = 606,156.75 × 606,156.75
  4. Step 4: Simplify right side
    397,176.75x = 367,426,005,570.56
  5. Step 5: Solve for x
    x = 367,426,005,570.56/397,176.75
  6. Step 6: Final answer
    x = 925,094.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.