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Finding the Third Proportional to 253,952 and 553,056

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Solution

The third proportional to 253,952 and 553,056 is: 1,204,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,952 : 553,056 = 553,056 : x
  2. Step 2: Convert to fraction form
    253,952/553,056 = 553,056/x
  3. Step 3: Cross multiply
    253,952x = 553,056 × 553,056
  4. Step 4: Simplify right side
    253,952x = 305,870,939,136
  5. Step 5: Solve for x
    x = 305,870,939,136/253,952
  6. Step 6: Final answer
    x = 1,204,443.91

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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.