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Finding the Third Proportional to 280,280.81 and 658,002.94

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Solution

The third proportional to 280,280.81 and 658,002.94 is: 1,544,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,280.81 : 658,002.94 = 658,002.94 : x
  2. Step 2: Convert to fraction form
    280,280.81/658,002.94 = 658,002.94/x
  3. Step 3: Cross multiply
    280,280.81x = 658,002.94 × 658,002.94
  4. Step 4: Simplify right side
    280,280.81x = 432,967,865,758.63
  5. Step 5: Solve for x
    x = 432,967,865,758.63/280,280.81
  6. Step 6: Final answer
    x = 1,544,764.56

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.