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Finding the Third Proportional to 514,400 and 818,544

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Solution

The third proportional to 514,400 and 818,544 is: 1,302,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,400 : 818,544 = 818,544 : x
  2. Step 2: Convert to fraction form
    514,400/818,544 = 818,544/x
  3. Step 3: Cross multiply
    514,400x = 818,544 × 818,544
  4. Step 4: Simplify right side
    514,400x = 670,014,279,936
  5. Step 5: Solve for x
    x = 670,014,279,936/514,400
  6. Step 6: Final answer
    x = 1,302,516.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.