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Finding the Third Proportional to 280,017.50 and 614,467

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Solution

The third proportional to 280,017.50 and 614,467 is: 1,348,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,017.50 : 614,467 = 614,467 : x
  2. Step 2: Convert to fraction form
    280,017.50/614,467 = 614,467/x
  3. Step 3: Cross multiply
    280,017.50x = 614,467 × 614,467
  4. Step 4: Simplify right side
    280,017.50x = 377,569,694,089
  5. Step 5: Solve for x
    x = 377,569,694,089/280,017.50
  6. Step 6: Final answer
    x = 1,348,378.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.