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Finding the Third Proportional to 254,712 and 546,996

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Solution

The third proportional to 254,712 and 546,996 is: 1,174,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,712 : 546,996 = 546,996 : x
  2. Step 2: Convert to fraction form
    254,712/546,996 = 546,996/x
  3. Step 3: Cross multiply
    254,712x = 546,996 × 546,996
  4. Step 4: Simplify right side
    254,712x = 299,204,624,016
  5. Step 5: Solve for x
    x = 299,204,624,016/254,712
  6. Step 6: Final answer
    x = 1,174,678.16

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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.