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Finding the Third Proportional to 365,506 and 548,257

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Solution

The third proportional to 365,506 and 548,257 is: 822,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,506 : 548,257 = 548,257 : x
  2. Step 2: Convert to fraction form
    365,506/548,257 = 548,257/x
  3. Step 3: Cross multiply
    365,506x = 548,257 × 548,257
  4. Step 4: Simplify right side
    365,506x = 300,585,738,049
  5. Step 5: Solve for x
    x = 300,585,738,049/365,506
  6. Step 6: Final answer
    x = 822,382.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.