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Finding the Third Proportional to 366,186 and 554,445

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Solution

The third proportional to 366,186 and 554,445 is: 839,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,186 : 554,445 = 554,445 : x
  2. Step 2: Convert to fraction form
    366,186/554,445 = 554,445/x
  3. Step 3: Cross multiply
    366,186x = 554,445 × 554,445
  4. Step 4: Simplify right side
    366,186x = 307,409,258,025
  5. Step 5: Solve for x
    x = 307,409,258,025/366,186
  6. Step 6: Final answer
    x = 839,489.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.