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Finding the Third Proportional to 514,399 and 693,899

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Solution

The third proportional to 514,399 and 693,899 is: 936,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,399 : 693,899 = 693,899 : x
  2. Step 2: Convert to fraction form
    514,399/693,899 = 693,899/x
  3. Step 3: Cross multiply
    514,399x = 693,899 × 693,899
  4. Step 4: Simplify right side
    514,399x = 481,495,822,201
  5. Step 5: Solve for x
    x = 481,495,822,201/514,399
  6. Step 6: Final answer
    x = 936,035.69

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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.