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Finding the Third Proportional to 460.69 and 714.66

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Solution

The third proportional to 460.69 and 714.66 is: 1,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.69 : 714.66 = 714.66 : x
  2. Step 2: Convert to fraction form
    460.69/714.66 = 714.66/x
  3. Step 3: Cross multiply
    460.69x = 714.66 × 714.66
  4. Step 4: Simplify right side
    460.69x = 510,733.56
  5. Step 5: Solve for x
    x = 510,733.56/460.69
  6. Step 6: Final answer
    x = 1,108.63

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Why These Related Problems?

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