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Finding the Third Proportional to 251,938 and 553,022

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Solution

The third proportional to 251,938 and 553,022 is: 1,213,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,938 : 553,022 = 553,022 : x
  2. Step 2: Convert to fraction form
    251,938/553,022 = 553,022/x
  3. Step 3: Cross multiply
    251,938x = 553,022 × 553,022
  4. Step 4: Simplify right side
    251,938x = 305,833,332,484
  5. Step 5: Solve for x
    x = 305,833,332,484/251,938
  6. Step 6: Final answer
    x = 1,213,923.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.