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Finding the Third Proportional to 534,104 and 824,704

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Solution

The third proportional to 534,104 and 824,704 is: 1,273,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,104 : 824,704 = 824,704 : x
  2. Step 2: Convert to fraction form
    534,104/824,704 = 824,704/x
  3. Step 3: Cross multiply
    534,104x = 824,704 × 824,704
  4. Step 4: Simplify right side
    534,104x = 680,136,687,616
  5. Step 5: Solve for x
    x = 680,136,687,616/534,104
  6. Step 6: Final answer
    x = 1,273,416.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.