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Finding the Third Proportional to 252,518 and 584,645

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Solution

The third proportional to 252,518 and 584,645 is: 1,353,605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,518 : 584,645 = 584,645 : x
  2. Step 2: Convert to fraction form
    252,518/584,645 = 584,645/x
  3. Step 3: Cross multiply
    252,518x = 584,645 × 584,645
  4. Step 4: Simplify right side
    252,518x = 341,809,776,025
  5. Step 5: Solve for x
    x = 341,809,776,025/252,518
  6. Step 6: Final answer
    x = 1,353,605.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.