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Finding the Third Proportional to 274,052 and 597,774

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Solution

The third proportional to 274,052 and 597,774 is: 1,303,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,052 : 597,774 = 597,774 : x
  2. Step 2: Convert to fraction form
    274,052/597,774 = 597,774/x
  3. Step 3: Cross multiply
    274,052x = 597,774 × 597,774
  4. Step 4: Simplify right side
    274,052x = 357,333,755,076
  5. Step 5: Solve for x
    x = 357,333,755,076/274,052
  6. Step 6: Final answer
    x = 1,303,890.34

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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.