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Finding the Third Proportional to 253,496 and 546,728

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Solution

The third proportional to 253,496 and 546,728 is: 1,179,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,496 : 546,728 = 546,728 : x
  2. Step 2: Convert to fraction form
    253,496/546,728 = 546,728/x
  3. Step 3: Cross multiply
    253,496x = 546,728 × 546,728
  4. Step 4: Simplify right side
    253,496x = 298,911,505,984
  5. Step 5: Solve for x
    x = 298,911,505,984/253,496
  6. Step 6: Final answer
    x = 1,179,156.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.