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Finding the Third Proportional to 470.75 and 607.38

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Solution

The third proportional to 470.75 and 607.38 is: 783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.75 : 607.38 = 607.38 : x
  2. Step 2: Convert to fraction form
    470.75/607.38 = 607.38/x
  3. Step 3: Cross multiply
    470.75x = 607.38 × 607.38
  4. Step 4: Simplify right side
    470.75x = 368,904.39
  5. Step 5: Solve for x
    x = 368,904.39/470.75
  6. Step 6: Final answer
    x = 783.65

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.