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Finding the Third Proportional to 280,374.75 and 597,462.75

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Solution

The third proportional to 280,374.75 and 597,462.75 is: 1,273,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,374.75 : 597,462.75 = 597,462.75 : x
  2. Step 2: Convert to fraction form
    280,374.75/597,462.75 = 597,462.75/x
  3. Step 3: Cross multiply
    280,374.75x = 597,462.75 × 597,462.75
  4. Step 4: Simplify right side
    280,374.75x = 356,961,737,637.56
  5. Step 5: Solve for x
    x = 356,961,737,637.56/280,374.75
  6. Step 6: Final answer
    x = 1,273,159.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.