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Finding the Third Proportional to 617,175 and 925,759.50

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Solution

The third proportional to 617,175 and 925,759.50 is: 1,388,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,175 : 925,759.50 = 925,759.50 : x
  2. Step 2: Convert to fraction form
    617,175/925,759.50 = 925,759.50/x
  3. Step 3: Cross multiply
    617,175x = 925,759.50 × 925,759.50
  4. Step 4: Simplify right side
    617,175x = 857,030,651,840.25
  5. Step 5: Solve for x
    x = 857,030,651,840.25/617,175
  6. Step 6: Final answer
    x = 1,388,634.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.