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Finding the Third Proportional to 280,272 and 435,175.88

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Solution

The third proportional to 280,272 and 435,175.88 is: 675,693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,272 : 435,175.88 = 435,175.88 : x
  2. Step 2: Convert to fraction form
    280,272/435,175.88 = 435,175.88/x
  3. Step 3: Cross multiply
    280,272x = 435,175.88 × 435,175.88
  4. Step 4: Simplify right side
    280,272x = 189,378,042,182.02
  5. Step 5: Solve for x
    x = 189,378,042,182.02/280,272
  6. Step 6: Final answer
    x = 675,693.76

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