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Finding the Third Proportional to 277,460 and 597,004

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Solution

The third proportional to 277,460 and 597,004 is: 1,284,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,460 : 597,004 = 597,004 : x
  2. Step 2: Convert to fraction form
    277,460/597,004 = 597,004/x
  3. Step 3: Cross multiply
    277,460x = 597,004 × 597,004
  4. Step 4: Simplify right side
    277,460x = 356,413,776,016
  5. Step 5: Solve for x
    x = 356,413,776,016/277,460
  6. Step 6: Final answer
    x = 1,284,559.13

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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.