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Finding the Third Proportional to 277,030 and 597,799

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Solution

The third proportional to 277,030 and 597,799 is: 1,289,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,030 : 597,799 = 597,799 : x
  2. Step 2: Convert to fraction form
    277,030/597,799 = 597,799/x
  3. Step 3: Cross multiply
    277,030x = 597,799 × 597,799
  4. Step 4: Simplify right side
    277,030x = 357,363,644,401
  5. Step 5: Solve for x
    x = 357,363,644,401/277,030
  6. Step 6: Final answer
    x = 1,289,981.75

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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.