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Finding the Third Proportional to 476.81 and 714.19

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Solution

The third proportional to 476.81 and 714.19 is: 1,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.81 : 714.19 = 714.19 : x
  2. Step 2: Convert to fraction form
    476.81/714.19 = 714.19/x
  3. Step 3: Cross multiply
    476.81x = 714.19 × 714.19
  4. Step 4: Simplify right side
    476.81x = 510,063.79
  5. Step 5: Solve for x
    x = 510,063.79/476.81
  6. Step 6: Final answer
    x = 1,069.74

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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.