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Finding the Third Proportional to 289,624.50 and 440,365.50

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Solution

The third proportional to 289,624.50 and 440,365.50 is: 669,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,624.50 : 440,365.50 = 440,365.50 : x
  2. Step 2: Convert to fraction form
    289,624.50/440,365.50 = 440,365.50/x
  3. Step 3: Cross multiply
    289,624.50x = 440,365.50 × 440,365.50
  4. Step 4: Simplify right side
    289,624.50x = 193,921,773,590.25
  5. Step 5: Solve for x
    x = 193,921,773,590.25/289,624.50
  6. Step 6: Final answer
    x = 669,562.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.