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Finding the Third Proportional to 252,520 and 584,650

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Solution

The third proportional to 252,520 and 584,650 is: 1,353,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,520 : 584,650 = 584,650 : x
  2. Step 2: Convert to fraction form
    252,520/584,650 = 584,650/x
  3. Step 3: Cross multiply
    252,520x = 584,650 × 584,650
  4. Step 4: Simplify right side
    252,520x = 341,815,622,500
  5. Step 5: Solve for x
    x = 341,815,622,500/252,520
  6. Step 6: Final answer
    x = 1,353,618.02

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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.