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Finding the Third Proportional to 355,524.19 and 540,599.06

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Solution

The third proportional to 355,524.19 and 540,599.06 is: 822,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,524.19 : 540,599.06 = 540,599.06 : x
  2. Step 2: Convert to fraction form
    355,524.19/540,599.06 = 540,599.06/x
  3. Step 3: Cross multiply
    355,524.19x = 540,599.06 × 540,599.06
  4. Step 4: Simplify right side
    355,524.19x = 292,247,346,375.88
  5. Step 5: Solve for x
    x = 292,247,346,375.88/355,524.19
  6. Step 6: Final answer
    x = 822,018.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.