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Finding the Third Proportional to 714.66 and 1,536.05

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Solution

The third proportional to 714.66 and 1,536.05 is: 3,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.66 : 1,536.05 = 1,536.05 : x
  2. Step 2: Convert to fraction form
    714.66/1,536.05 = 1,536.05/x
  3. Step 3: Cross multiply
    714.66x = 1,536.05 × 1,536.05
  4. Step 4: Simplify right side
    714.66x = 2,359,440.00
  5. Step 5: Solve for x
    x = 2,359,440.00/714.66
  6. Step 6: Final answer
    x = 3,301.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.