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Finding the Third Proportional to 282,783.50 and 614,653

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Solution

The third proportional to 282,783.50 and 614,653 is: 1,335,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,783.50 : 614,653 = 614,653 : x
  2. Step 2: Convert to fraction form
    282,783.50/614,653 = 614,653/x
  3. Step 3: Cross multiply
    282,783.50x = 614,653 × 614,653
  4. Step 4: Simplify right side
    282,783.50x = 377,798,310,409
  5. Step 5: Solve for x
    x = 377,798,310,409/282,783.50
  6. Step 6: Final answer
    x = 1,335,998.42

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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.