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Finding the Third Proportional to 254,694 and 546,972

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Solution

The third proportional to 254,694 and 546,972 is: 1,174,658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,694 : 546,972 = 546,972 : x
  2. Step 2: Convert to fraction form
    254,694/546,972 = 546,972/x
  3. Step 3: Cross multiply
    254,694x = 546,972 × 546,972
  4. Step 4: Simplify right side
    254,694x = 299,178,368,784
  5. Step 5: Solve for x
    x = 299,178,368,784/254,694
  6. Step 6: Final answer
    x = 1,174,658.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.