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Finding the Third Proportional to 429,424 and 858,800

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Solution

The third proportional to 429,424 and 858,800 is: 1,717,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,424 : 858,800 = 858,800 : x
  2. Step 2: Convert to fraction form
    429,424/858,800 = 858,800/x
  3. Step 3: Cross multiply
    429,424x = 858,800 × 858,800
  4. Step 4: Simplify right side
    429,424x = 737,537,440,000
  5. Step 5: Solve for x
    x = 737,537,440,000/429,424
  6. Step 6: Final answer
    x = 1,717,504.01

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.