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Finding the Third Proportional to 429,855.75 and 894,598.50

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Solution

The third proportional to 429,855.75 and 894,598.50 is: 1,861,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,855.75 : 894,598.50 = 894,598.50 : x
  2. Step 2: Convert to fraction form
    429,855.75/894,598.50 = 894,598.50/x
  3. Step 3: Cross multiply
    429,855.75x = 894,598.50 × 894,598.50
  4. Step 4: Simplify right side
    429,855.75x = 800,306,476,202.25
  5. Step 5: Solve for x
    x = 800,306,476,202.25/429,855.75
  6. Step 6: Final answer
    x = 1,861,802.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.