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Finding the Third Proportional to 714.19 and 1,044.47

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Solution

The third proportional to 714.19 and 1,044.47 is: 1,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.19 : 1,044.47 = 1,044.47 : x
  2. Step 2: Convert to fraction form
    714.19/1,044.47 = 1,044.47/x
  3. Step 3: Cross multiply
    714.19x = 1,044.47 × 1,044.47
  4. Step 4: Simplify right side
    714.19x = 1,090,914.97
  5. Step 5: Solve for x
    x = 1,090,914.97/714.19
  6. Step 6: Final answer
    x = 1,527.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.