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Finding the Third Proportional to 280,008.75 and 430,635.75

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Solution

The third proportional to 280,008.75 and 430,635.75 is: 662,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,008.75 : 430,635.75 = 430,635.75 : x
  2. Step 2: Convert to fraction form
    280,008.75/430,635.75 = 430,635.75/x
  3. Step 3: Cross multiply
    280,008.75x = 430,635.75 × 430,635.75
  4. Step 4: Simplify right side
    280,008.75x = 185,447,149,178.06
  5. Step 5: Solve for x
    x = 185,447,149,178.06/280,008.75
  6. Step 6: Final answer
    x = 662,290.55

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