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Finding the Third Proportional to 433,228 and 649,842

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Solution

The third proportional to 433,228 and 649,842 is: 974,763

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,228 : 649,842 = 649,842 : x
  2. Step 2: Convert to fraction form
    433,228/649,842 = 649,842/x
  3. Step 3: Cross multiply
    433,228x = 649,842 × 649,842
  4. Step 4: Simplify right side
    433,228x = 422,294,624,964
  5. Step 5: Solve for x
    x = 422,294,624,964/433,228
  6. Step 6: Final answer
    x = 974,763

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.