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Finding the Third Proportional to 277,029 and 597,798

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Solution

The third proportional to 277,029 and 597,798 is: 1,289,982.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,029 : 597,798 = 597,798 : x
  2. Step 2: Convert to fraction form
    277,029/597,798 = 597,798/x
  3. Step 3: Cross multiply
    277,029x = 597,798 × 597,798
  4. Step 4: Simplify right side
    277,029x = 357,362,448,804
  5. Step 5: Solve for x
    x = 357,362,448,804/277,029
  6. Step 6: Final answer
    x = 1,289,982.09

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Why These Related Problems?

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