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Finding the Third Proportional to 223,423 and 330,794.50

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Solution

The third proportional to 223,423 and 330,794.50 is: 489,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,423 : 330,794.50 = 330,794.50 : x
  2. Step 2: Convert to fraction form
    223,423/330,794.50 = 330,794.50/x
  3. Step 3: Cross multiply
    223,423x = 330,794.50 × 330,794.50
  4. Step 4: Simplify right side
    223,423x = 109,425,001,230.25
  5. Step 5: Solve for x
    x = 109,425,001,230.25/223,423
  6. Step 6: Final answer
    x = 489,766.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.