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Finding the Third Proportional to 277,028 and 597,796

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Solution

The third proportional to 277,028 and 597,796 is: 1,289,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,028 : 597,796 = 597,796 : x
  2. Step 2: Convert to fraction form
    277,028/597,796 = 597,796/x
  3. Step 3: Cross multiply
    277,028x = 597,796 × 597,796
  4. Step 4: Simplify right side
    277,028x = 357,360,057,616
  5. Step 5: Solve for x
    x = 357,360,057,616/277,028
  6. Step 6: Final answer
    x = 1,289,978.12

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