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Finding the Third Proportional to 283,555.50 and 613,657.50

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Solution

The third proportional to 283,555.50 and 613,657.50 is: 1,328,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,555.50 : 613,657.50 = 613,657.50 : x
  2. Step 2: Convert to fraction form
    283,555.50/613,657.50 = 613,657.50/x
  3. Step 3: Cross multiply
    283,555.50x = 613,657.50 × 613,657.50
  4. Step 4: Simplify right side
    283,555.50x = 376,575,527,306.25
  5. Step 5: Solve for x
    x = 376,575,527,306.25/283,555.50
  6. Step 6: Final answer
    x = 1,328,048.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.