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Finding the Third Proportional to 221,624.50 and 469,281.50

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Solution

The third proportional to 221,624.50 and 469,281.50 is: 993,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,624.50 : 469,281.50 = 469,281.50 : x
  2. Step 2: Convert to fraction form
    221,624.50/469,281.50 = 469,281.50/x
  3. Step 3: Cross multiply
    221,624.50x = 469,281.50 × 469,281.50
  4. Step 4: Simplify right side
    221,624.50x = 220,225,126,242.25
  5. Step 5: Solve for x
    x = 220,225,126,242.25/221,624.50
  6. Step 6: Final answer
    x = 993,685.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.