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Finding the Third Proportional to 280,079 and 420,323

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Solution

The third proportional to 280,079 and 420,323 is: 630,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,079 : 420,323 = 420,323 : x
  2. Step 2: Convert to fraction form
    280,079/420,323 = 420,323/x
  3. Step 3: Cross multiply
    280,079x = 420,323 × 420,323
  4. Step 4: Simplify right side
    280,079x = 176,671,424,329
  5. Step 5: Solve for x
    x = 176,671,424,329/280,079
  6. Step 6: Final answer
    x = 630,791.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.