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Finding the Third Proportional to 429,853.50 and 894,594

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Solution

The third proportional to 429,853.50 and 894,594 is: 1,861,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,853.50 : 894,594 = 894,594 : x
  2. Step 2: Convert to fraction form
    429,853.50/894,594 = 894,594/x
  3. Step 3: Cross multiply
    429,853.50x = 894,594 × 894,594
  4. Step 4: Simplify right side
    429,853.50x = 800,298,424,836
  5. Step 5: Solve for x
    x = 800,298,424,836/429,853.50
  6. Step 6: Final answer
    x = 1,861,793.44

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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.