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Finding the Third Proportional to 283,905 and 439,526.25

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Solution

The third proportional to 283,905 and 439,526.25 is: 680,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,905 : 439,526.25 = 439,526.25 : x
  2. Step 2: Convert to fraction form
    283,905/439,526.25 = 439,526.25/x
  3. Step 3: Cross multiply
    283,905x = 439,526.25 × 439,526.25
  4. Step 4: Simplify right side
    283,905x = 193,183,324,439.06
  5. Step 5: Solve for x
    x = 193,183,324,439.06/283,905
  6. Step 6: Final answer
    x = 680,450.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.