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Finding the Third Proportional to 280,737 and 608,766.75

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Solution

The third proportional to 280,737 and 608,766.75 is: 1,320,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,737 : 608,766.75 = 608,766.75 : x
  2. Step 2: Convert to fraction form
    280,737/608,766.75 = 608,766.75/x
  3. Step 3: Cross multiply
    280,737x = 608,766.75 × 608,766.75
  4. Step 4: Simplify right side
    280,737x = 370,596,955,905.56
  5. Step 5: Solve for x
    x = 370,596,955,905.56/280,737
  6. Step 6: Final answer
    x = 1,320,085.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.