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Finding the Third Proportional to 283,687.50 and 614,653.50

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Solution

The third proportional to 283,687.50 and 614,653.50 is: 1,331,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,687.50 : 614,653.50 = 614,653.50 : x
  2. Step 2: Convert to fraction form
    283,687.50/614,653.50 = 614,653.50/x
  3. Step 3: Cross multiply
    283,687.50x = 614,653.50 × 614,653.50
  4. Step 4: Simplify right side
    283,687.50x = 377,798,925,062.25
  5. Step 5: Solve for x
    x = 377,798,925,062.25/283,687.50
  6. Step 6: Final answer
    x = 1,331,743.29

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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.