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Finding the Third Proportional to 251,936 and 553,018

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Solution

The third proportional to 251,936 and 553,018 is: 1,213,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,936 : 553,018 = 553,018 : x
  2. Step 2: Convert to fraction form
    251,936/553,018 = 553,018/x
  3. Step 3: Cross multiply
    251,936x = 553,018 × 553,018
  4. Step 4: Simplify right side
    251,936x = 305,828,908,324
  5. Step 5: Solve for x
    x = 305,828,908,324/251,936
  6. Step 6: Final answer
    x = 1,213,915.07

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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.