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Finding the Third Proportional to 313,780.50 and 480,087

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Solution

The third proportional to 313,780.50 and 480,087 is: 734,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,780.50 : 480,087 = 480,087 : x
  2. Step 2: Convert to fraction form
    313,780.50/480,087 = 480,087/x
  3. Step 3: Cross multiply
    313,780.50x = 480,087 × 480,087
  4. Step 4: Simplify right side
    313,780.50x = 230,483,527,569
  5. Step 5: Solve for x
    x = 230,483,527,569/313,780.50
  6. Step 6: Final answer
    x = 734,537.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.