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Finding the Third Proportional to 285,302 and 441,526

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Solution

The third proportional to 285,302 and 441,526 is: 683,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,302 : 441,526 = 441,526 : x
  2. Step 2: Convert to fraction form
    285,302/441,526 = 441,526/x
  3. Step 3: Cross multiply
    285,302x = 441,526 × 441,526
  4. Step 4: Simplify right side
    285,302x = 194,945,208,676
  5. Step 5: Solve for x
    x = 194,945,208,676/285,302
  6. Step 6: Final answer
    x = 683,294.22

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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.