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Finding the Third Proportional to 368,400 and 559,808

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Solution

The third proportional to 368,400 and 559,808 is: 850,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,400 : 559,808 = 559,808 : x
  2. Step 2: Convert to fraction form
    368,400/559,808 = 559,808/x
  3. Step 3: Cross multiply
    368,400x = 559,808 × 559,808
  4. Step 4: Simplify right side
    368,400x = 313,384,996,864
  5. Step 5: Solve for x
    x = 313,384,996,864/368,400
  6. Step 6: Final answer
    x = 850,665.03

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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.