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Finding the Third Proportional to 280,074 and 430,494

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Solution

The third proportional to 280,074 and 430,494 is: 661,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,074 : 430,494 = 430,494 : x
  2. Step 2: Convert to fraction form
    280,074/430,494 = 430,494/x
  3. Step 3: Cross multiply
    280,074x = 430,494 × 430,494
  4. Step 4: Simplify right side
    280,074x = 185,325,084,036
  5. Step 5: Solve for x
    x = 185,325,084,036/280,074
  6. Step 6: Final answer
    x = 661,700.42

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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.