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Finding the Third Proportional to 382,260 and 607,290.75

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Solution

The third proportional to 382,260 and 607,290.75 is: 964,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,260 : 607,290.75 = 607,290.75 : x
  2. Step 2: Convert to fraction form
    382,260/607,290.75 = 607,290.75/x
  3. Step 3: Cross multiply
    382,260x = 607,290.75 × 607,290.75
  4. Step 4: Simplify right side
    382,260x = 368,802,055,035.56
  5. Step 5: Solve for x
    x = 368,802,055,035.56/382,260
  6. Step 6: Final answer
    x = 964,793.74

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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.