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Finding the Third Proportional to 228,622 and 349,522

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Solution

The third proportional to 228,622 and 349,522 is: 534,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,622 : 349,522 = 349,522 : x
  2. Step 2: Convert to fraction form
    228,622/349,522 = 349,522/x
  3. Step 3: Cross multiply
    228,622x = 349,522 × 349,522
  4. Step 4: Simplify right side
    228,622x = 122,165,628,484
  5. Step 5: Solve for x
    x = 122,165,628,484/228,622
  6. Step 6: Final answer
    x = 534,356.40

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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.