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Finding the Third Proportional to 252,508 and 584,614

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Solution

The third proportional to 252,508 and 584,614 is: 1,353,515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,508 : 584,614 = 584,614 : x
  2. Step 2: Convert to fraction form
    252,508/584,614 = 584,614/x
  3. Step 3: Cross multiply
    252,508x = 584,614 × 584,614
  4. Step 4: Simplify right side
    252,508x = 341,773,528,996
  5. Step 5: Solve for x
    x = 341,773,528,996/252,508
  6. Step 6: Final answer
    x = 1,353,515.65

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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.