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Finding the Third Proportional to 274,738 and 570,522

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Solution

The third proportional to 274,738 and 570,522 is: 1,184,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,738 : 570,522 = 570,522 : x
  2. Step 2: Convert to fraction form
    274,738/570,522 = 570,522/x
  3. Step 3: Cross multiply
    274,738x = 570,522 × 570,522
  4. Step 4: Simplify right side
    274,738x = 325,495,352,484
  5. Step 5: Solve for x
    x = 325,495,352,484/274,738
  6. Step 6: Final answer
    x = 1,184,748.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.