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Finding the Third Proportional to 514,397 and 693,896

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Solution

The third proportional to 514,397 and 693,896 is: 936,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,397 : 693,896 = 693,896 : x
  2. Step 2: Convert to fraction form
    514,397/693,896 = 693,896/x
  3. Step 3: Cross multiply
    514,397x = 693,896 × 693,896
  4. Step 4: Simplify right side
    514,397x = 481,491,658,816
  5. Step 5: Solve for x
    x = 481,491,658,816/514,397
  6. Step 6: Final answer
    x = 936,031.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.