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Finding the Third Proportional to 280,086 and 430,511

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Solution

The third proportional to 280,086 and 430,511 is: 661,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,086 : 430,511 = 430,511 : x
  2. Step 2: Convert to fraction form
    280,086/430,511 = 430,511/x
  3. Step 3: Cross multiply
    280,086x = 430,511 × 430,511
  4. Step 4: Simplify right side
    280,086x = 185,339,721,121
  5. Step 5: Solve for x
    x = 185,339,721,121/280,086
  6. Step 6: Final answer
    x = 661,724.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.