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Finding the Third Proportional to 254,007 and 546,246

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Solution

The third proportional to 254,007 and 546,246 is: 1,174,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,007 : 546,246 = 546,246 : x
  2. Step 2: Convert to fraction form
    254,007/546,246 = 546,246/x
  3. Step 3: Cross multiply
    254,007x = 546,246 × 546,246
  4. Step 4: Simplify right side
    254,007x = 298,384,692,516
  5. Step 5: Solve for x
    x = 298,384,692,516/254,007
  6. Step 6: Final answer
    x = 1,174,710.51

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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.