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Finding the Third Proportional to 286,429.50 and 619,372.50

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Solution

The third proportional to 286,429.50 and 619,372.50 is: 1,339,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,429.50 : 619,372.50 = 619,372.50 : x
  2. Step 2: Convert to fraction form
    286,429.50/619,372.50 = 619,372.50/x
  3. Step 3: Cross multiply
    286,429.50x = 619,372.50 × 619,372.50
  4. Step 4: Simplify right side
    286,429.50x = 383,622,293,756.25
  5. Step 5: Solve for x
    x = 383,622,293,756.25/286,429.50
  6. Step 6: Final answer
    x = 1,339,325.36

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