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Finding the Third Proportional to 382,380.75 and 607,317.75

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Solution

The third proportional to 382,380.75 and 607,317.75 is: 964,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,380.75 : 607,317.75 = 607,317.75 : x
  2. Step 2: Convert to fraction form
    382,380.75/607,317.75 = 607,317.75/x
  3. Step 3: Cross multiply
    382,380.75x = 607,317.75 × 607,317.75
  4. Step 4: Simplify right side
    382,380.75x = 368,834,849,465.06
  5. Step 5: Solve for x
    x = 368,834,849,465.06/382,380.75
  6. Step 6: Final answer
    x = 964,574.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.