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Finding the Third Proportional to 377,682.75 and 559,396.13

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Solution

The third proportional to 377,682.75 and 559,396.13 is: 828,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,682.75 : 559,396.13 = 559,396.13 : x
  2. Step 2: Convert to fraction form
    377,682.75/559,396.13 = 559,396.13/x
  3. Step 3: Cross multiply
    377,682.75x = 559,396.13 × 559,396.13
  4. Step 4: Simplify right side
    377,682.75x = 312,924,024,665.02
  5. Step 5: Solve for x
    x = 312,924,024,665.02/377,682.75
  6. Step 6: Final answer
    x = 828,536.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.