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Finding the Third Proportional to 477.25 and 715.63

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Solution

The third proportional to 477.25 and 715.63 is: 1,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.25 : 715.63 = 715.63 : x
  2. Step 2: Convert to fraction form
    477.25/715.63 = 715.63/x
  3. Step 3: Cross multiply
    477.25x = 715.63 × 715.63
  4. Step 4: Simplify right side
    477.25x = 512,119.14
  5. Step 5: Solve for x
    x = 512,119.14/477.25
  6. Step 6: Final answer
    x = 1,073.06

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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.