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Finding the Third Proportional to 553,832 and 829,828

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Solution

The third proportional to 553,832 and 829,828 is: 1,243,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,832 : 829,828 = 829,828 : x
  2. Step 2: Convert to fraction form
    553,832/829,828 = 829,828/x
  3. Step 3: Cross multiply
    553,832x = 829,828 × 829,828
  4. Step 4: Simplify right side
    553,832x = 688,614,509,584
  5. Step 5: Solve for x
    x = 688,614,509,584/553,832
  6. Step 6: Final answer
    x = 1,243,363.53

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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.