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Finding the Third Proportional to 253,954 and 553,060

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Solution

The third proportional to 253,954 and 553,060 is: 1,204,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,954 : 553,060 = 553,060 : x
  2. Step 2: Convert to fraction form
    253,954/553,060 = 553,060/x
  3. Step 3: Cross multiply
    253,954x = 553,060 × 553,060
  4. Step 4: Simplify right side
    253,954x = 305,875,363,600
  5. Step 5: Solve for x
    x = 305,875,363,600/253,954
  6. Step 6: Final answer
    x = 1,204,451.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.