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Finding the Third Proportional to 383,620 and 832,472

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Solution

The third proportional to 383,620 and 832,472 is: 1,806,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,620 : 832,472 = 832,472 : x
  2. Step 2: Convert to fraction form
    383,620/832,472 = 832,472/x
  3. Step 3: Cross multiply
    383,620x = 832,472 × 832,472
  4. Step 4: Simplify right side
    383,620x = 693,009,630,784
  5. Step 5: Solve for x
    x = 693,009,630,784/383,620
  6. Step 6: Final answer
    x = 1,806,500.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.