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Finding the Third Proportional to 282,453.75 and 594,006.75

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Solution

The third proportional to 282,453.75 and 594,006.75 is: 1,249,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,453.75 : 594,006.75 = 594,006.75 : x
  2. Step 2: Convert to fraction form
    282,453.75/594,006.75 = 594,006.75/x
  3. Step 3: Cross multiply
    282,453.75x = 594,006.75 × 594,006.75
  4. Step 4: Simplify right side
    282,453.75x = 352,844,019,045.56
  5. Step 5: Solve for x
    x = 352,844,019,045.56/282,453.75
  6. Step 6: Final answer
    x = 1,249,209.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.