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Finding the Third Proportional to 282,260 and 437,214

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Solution

The third proportional to 282,260 and 437,214 is: 677,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,260 : 437,214 = 437,214 : x
  2. Step 2: Convert to fraction form
    282,260/437,214 = 437,214/x
  3. Step 3: Cross multiply
    282,260x = 437,214 × 437,214
  4. Step 4: Simplify right side
    282,260x = 191,156,081,796
  5. Step 5: Solve for x
    x = 191,156,081,796/282,260
  6. Step 6: Final answer
    x = 677,234.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.