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Finding the Third Proportional to 280,034 and 422,076

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Solution

The third proportional to 280,034 and 422,076 is: 636,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,034 : 422,076 = 422,076 : x
  2. Step 2: Convert to fraction form
    280,034/422,076 = 422,076/x
  3. Step 3: Cross multiply
    280,034x = 422,076 × 422,076
  4. Step 4: Simplify right side
    280,034x = 178,148,149,776
  5. Step 5: Solve for x
    x = 178,148,149,776/280,034
  6. Step 6: Final answer
    x = 636,166.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.