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Finding the Third Proportional to 460.96 and 714.05

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Solution

The third proportional to 460.96 and 714.05 is: 1,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.96 : 714.05 = 714.05 : x
  2. Step 2: Convert to fraction form
    460.96/714.05 = 714.05/x
  3. Step 3: Cross multiply
    460.96x = 714.05 × 714.05
  4. Step 4: Simplify right side
    460.96x = 509,867.12
  5. Step 5: Solve for x
    x = 509,867.12/460.96
  6. Step 6: Final answer
    x = 1,106.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.