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Finding the Third Proportional to 282,772.50 and 614,631

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Solution

The third proportional to 282,772.50 and 614,631 is: 1,335,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,772.50 : 614,631 = 614,631 : x
  2. Step 2: Convert to fraction form
    282,772.50/614,631 = 614,631/x
  3. Step 3: Cross multiply
    282,772.50x = 614,631 × 614,631
  4. Step 4: Simplify right side
    282,772.50x = 377,771,266,161
  5. Step 5: Solve for x
    x = 377,771,266,161/282,772.50
  6. Step 6: Final answer
    x = 1,335,954.76

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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.