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Finding the Third Proportional to 253,730 and 552,664

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Solution

The third proportional to 253,730 and 552,664 is: 1,203,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,730 : 552,664 = 552,664 : x
  2. Step 2: Convert to fraction form
    253,730/552,664 = 552,664/x
  3. Step 3: Cross multiply
    253,730x = 552,664 × 552,664
  4. Step 4: Simplify right side
    253,730x = 305,437,496,896
  5. Step 5: Solve for x
    x = 305,437,496,896/253,730
  6. Step 6: Final answer
    x = 1,203,789.45

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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.