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Finding the Third Proportional to 554,760 and 812,394

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Solution

The third proportional to 554,760 and 812,394 is: 1,189,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,760 : 812,394 = 812,394 : x
  2. Step 2: Convert to fraction form
    554,760/812,394 = 812,394/x
  3. Step 3: Cross multiply
    554,760x = 812,394 × 812,394
  4. Step 4: Simplify right side
    554,760x = 659,984,011,236
  5. Step 5: Solve for x
    x = 659,984,011,236/554,760
  6. Step 6: Final answer
    x = 1,189,674.83

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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.