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Finding the Third Proportional to 280,022.63 and 430,656.75

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Solution

The third proportional to 280,022.63 and 430,656.75 is: 662,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,022.63 : 430,656.75 = 430,656.75 : x
  2. Step 2: Convert to fraction form
    280,022.63/430,656.75 = 430,656.75/x
  3. Step 3: Cross multiply
    280,022.63x = 430,656.75 × 430,656.75
  4. Step 4: Simplify right side
    280,022.63x = 185,465,236,320.56
  5. Step 5: Solve for x
    x = 185,465,236,320.56/280,022.63
  6. Step 6: Final answer
    x = 662,322.33

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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.