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Finding the Third Proportional to 482,064.75 and 920,388.75

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Solution

The third proportional to 482,064.75 and 920,388.75 is: 1,757,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,064.75 : 920,388.75 = 920,388.75 : x
  2. Step 2: Convert to fraction form
    482,064.75/920,388.75 = 920,388.75/x
  3. Step 3: Cross multiply
    482,064.75x = 920,388.75 × 920,388.75
  4. Step 4: Simplify right side
    482,064.75x = 847,115,451,126.56
  5. Step 5: Solve for x
    x = 847,115,451,126.56/482,064.75
  6. Step 6: Final answer
    x = 1,757,264.87

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.