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Finding the Third Proportional to 254,004 and 546,240

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Solution

The third proportional to 254,004 and 546,240 is: 1,174,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,004 : 546,240 = 546,240 : x
  2. Step 2: Convert to fraction form
    254,004/546,240 = 546,240/x
  3. Step 3: Cross multiply
    254,004x = 546,240 × 546,240
  4. Step 4: Simplify right side
    254,004x = 298,378,137,600
  5. Step 5: Solve for x
    x = 298,378,137,600/254,004
  6. Step 6: Final answer
    x = 1,174,698.58

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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.