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Finding the Third Proportional to 274,782 and 597,951

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Solution

The third proportional to 274,782 and 597,951 is: 1,301,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,782 : 597,951 = 597,951 : x
  2. Step 2: Convert to fraction form
    274,782/597,951 = 597,951/x
  3. Step 3: Cross multiply
    274,782x = 597,951 × 597,951
  4. Step 4: Simplify right side
    274,782x = 357,545,398,401
  5. Step 5: Solve for x
    x = 357,545,398,401/274,782
  6. Step 6: Final answer
    x = 1,301,196.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.